Which value of g makes 26=7(g-9)+12 a true statement? Choose 1 answer: (A) g=11 (B) g=12 (c) g=13 (D) g=14

Simplify the equation: First, we need to simplify the equation by distributing the 7 into the parentheses. So, we multiply 7 by both g and -9. 7(g-9) + 12 = 7g - 63 + 12Combine like terms: Next, we combine like terms on the right side of the equation. 7g - 63 + 12 simplifies to 7g - 51. So, the equation now is 26 = 7g - 51.Isolate the variable: Now, we need to isolate the variable g on one side of the equation. To do this, we add 51 to both sides of the equation to cancel out the -51. 26 + 51 = 7g - 51 + 51Add to both sides: After adding 51 to both sides, we get a new equation: 77 = 7gNew equation: To solve for g, we divide both sides of the equation by 7. 77 / 7 = 7g / 7Divide by 7: After dividing by 7, we find the value of g: 11 = g

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Which value of
g makes
26=7(g-9)+12 a true statement?
Choose 1 answer:
(A)
g=11
(B)
g=12
(c)
g=13
(D)
g=14

Which value of $g$ makes $26=7(g-9)+12$ a true statement? $\newline$ Choose $1$ answer: $\newline$ (A) $g=11$ $\newline$ (B) $g=12$ $\newline$ (C) $g=13$ $\newline$ (D) $g=14$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. Which value of

g

makes

26=7(g-9)+12

a true statement?

\newline

Choose

1

answer:

\newline

(A)

g=11

\newline

(B)

g=12

\newline

(C)

g=13

\newline

(D)

g=14

Simplify the equation: First, we need to simplify the equation by distributing the $7$ into the parentheses. $\newline$ So, we multiply $7$ by both $g$ and $-9$ . $\newline$ $7(g-9) + 12 = 7g - 63 + 12$
Combine like terms: Next, we combine like terms on the right side of the equation. $\newline$ $7g - 63 + 12$ simplifies to $7g - 51$ . $\newline$ So, the equation now is $26 = 7g - 51$ .
Isolate the variable: Now, we need to isolate the variable $g$ on one side of the equation. $\newline$ To do this, we add $51$ to both sides of the equation to cancel out the $-51$ . $\newline$ $26 + 51 = 7g - 51 + 51$
Add to both sides: After adding $51$ to both sides, we get a new equation: $\newline$ $77 = 7g$
New equation: To solve for $g$ , we divide both sides of the equation by $7$ . $\frac{77}{7} = \frac{7g}{7}$
Divide by $7$ : After dividing by $7$ , we find the value of $g$ : $11 = g$