Solve for r : {:[(7)/(10)=r-(-(8)/(5))],[r=◻]:}

Write Equation Readable Form: Write the equation in a more readable form. The equation given is (7/10) = r - (-8/5). We need to solve for r.Simplify Right Side: Simplify the right side of the equation by removing the double negative. r - (-8/5) becomes r + 8/5. So, the equation now is (7/10) = r + 8/5.Isolate Variable: To isolate r, we need to subtract 8/5 from both sides of the equation. (7/10) - 8/5 = r + 8/5 - 8/5Calculate Left Side: Calculate the left side of the equation. To subtract the fractions, we need a common denominator. The least common denominator for 10 and 5 is 10. So, we convert 8/5 to 16/10. (7/10) - (16/10) = rPerform Subtraction: Perform the subtraction on the left side. (7/10) - (16/10) = -9/10 So, the equation now is -9/10 = r.Write Final Answer: Write the final answer. Therefore, the value of r is -9/10.

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Math Problems

Grade 6

Multiply using the distributive property

Full solution

Q. Solve for

r

\newline

\begin{array}{l} \frac{7}{10}=r-\left(-\frac{8}{5}\right) \\ r=\square \end{array}

Write Equation Readable Form: Write the equation in a more readable form. $\newline$ The equation given is $(\frac{7}{10}) = r - (\frac{-8}{5})$ . We need to solve for $r$ .
Simplify Right Side: Simplify the right side of the equation by removing the double negative. $\newline$ $r - (-\frac{8}{5})$ becomes $r + \frac{8}{5}$ . $\newline$ So, the equation now is $\frac{7}{10} = r + \frac{8}{5}$ .
Isolate Variable: To isolate $r$ , we need to subtract $\frac{8}{5}$ from both sides of the equation. $\newline$ $\frac{7}{10} - \frac{8}{5} = r + \frac{8}{5} - \frac{8}{5}$
Calculate Left Side: Calculate the left side of the equation. $\newline$ To subtract the fractions, we need a common denominator. The least common denominator for $10$ and $5$ is $10$ . $\newline$ So, we convert $\frac{8}{5}$ to $\frac{16}{10}$ . $\newline$ $(\frac{7}{10}) - (\frac{16}{10}) = r$
Perform Subtraction: Perform the subtraction on the left side. $\newline$ $(\frac{7}{10}) - (\frac{16}{10}) = -\frac{9}{10}$ $\newline$ So, the equation now is $-\frac{9}{10} = r$ .
Write Final Answer: Write the final answer. $\newline$ Therefore, the value of $r$ is $-\frac{9}{10}$ .