Solve for a. 10=-18-(7)/(11)a Answer: a=

Identify Operation: Identify the operation which should be used to isolate a. Since (7/11)a is subtracted from -18, addition should be used to isolate (7/11)a.Add to Isolate: Add (7/11)a to both sides of the equation to isolate the term containing a. 10 = -18 - (7/11)a 10 + (7/11)a = -18 - (7/11)a + (7/11)a 10 + (7/11)a = -18Add to Move Constant: Add 18 to both sides of the equation to move the constant term to the other side. 10 + (7/11)a + 18 = -18 + 18 10 + (7/11)a + 18 = 0 28 + (7/11)a = 0Subtract to Isolate: Subtract 28 from both sides to isolate the term containing a. 28 + (7/11)a - 28 = 0 - 28 (7/11)a = -28Multiply by Reciprocal: Multiply both sides by the reciprocal of (7/11) to solve for a. (11/7) * (7/11)a = -28 * (11/7) a = -28 * (11/7)Perform Multiplication: Perform the multiplication to find the value of a. a = -28 * (11/7) a = -4 * 11 a = -44

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Solve for
a.

10=-18-(7)/(11)a
Answer:
a=

Solve for $a$ . $\newline$ $10=-18-\frac{7}{11} a$ $\newline$ Answer: $a=$

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Algebra 1

Rearrange multi-variable equations

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Q. Solve for

a

\newline

10=-18-\frac{7}{11} a

\newline

Answer:

a=

Identify Operation: Identify the operation which should be used to isolate $a$ . Since $(\frac{7}{11})a$ is subtracted from $-18$ , addition should be used to isolate $(\frac{7}{11})a$ .
Add to Isolate: Add $(7/11)a$ to both sides of the equation to isolate the term containing $a$ . $10 = -18 - (7/11)a$ $10 + (7/11)a = -18 - (7/11)a + (7/11)a$ $10 + (7/11)a = -18$
Add to Move Constant: Add $18$ to both sides of the equation to move the constant term to the other side. $\newline$ $10 + \left(\frac{7}{11}\right)a + 18 = -18 + 18$ $\newline$ $10 + \left(\frac{7}{11}\right)a + 18 = 0$ $\newline$ $28 + \left(\frac{7}{11}\right)a = 0$
Subtract to Isolate: Subtract $28$ from both sides to isolate the term containing $a$ . $\newline$ $28 + \left(\frac{7}{11}\right)a - 28 = 0 - 28$ $\newline$ $(\frac{7}{11})a = -28$
Multiply by Reciprocal: Multiply both sides by the reciprocal of $(\frac{7}{11})$ to solve for $a$ . $(\frac{11}{7}) \times (\frac{7}{11})a = -28 \times (\frac{11}{7})$ $a = -28 \times (\frac{11}{7})$
Perform Multiplication: Perform the multiplication to find the value of $a$ . $a = -28 \times \left(\frac{11}{7}\right)$ $a = -4 \times 11$ $a = -44$