Solve for q. {:[(10)/(2q+8)=10],[q=]:}

Write equation: Write down the given equation. (10)/(2q+8) = 10Eliminate denominator: Multiply both sides of the equation by (2q+8) to eliminate the denominator. (10)/(2q+8) * (2q+8) = 10 * (2q+8)Simplify equation: Simplify both sides of the equation. 10 = 20q + 80Isolate term with q: Subtract 80 from both sides of the equation to isolate the term with q on one side. 10 - 80 = 20q + 80 - 80Subtract and simplify: Simplify the equation after subtraction. -70 = 20qDivide both sides: Divide both sides of the equation by 20 to solve for q. -70 / 20 = 20q / 20Find value of q: Simplify the division to find the value of q. q = -3.5

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Solve for $q$ . $\newline$ $\begin{array}{l} \frac{10}{2 q+8}=10 \\ q=\square \end{array}$

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Math Problems

Grade 6

Multiply two decimals: where does the decimal point go?

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Q. Solve for

q

\newline

\begin{array}{l} \frac{10}{2 q+8}=10 \\ q=\square \end{array}

Write equation: Write down the given equation. $\newline$ $\frac{10}{2q+8} = 10$
Eliminate denominator: Multiply both sides of the equation by $(2q+8)$ to eliminate the denominator. $\newline$ $\frac{10}{2q+8} \times (2q+8) = 10 \times (2q+8)$
Simplify equation: Simplify both sides of the equation. $\newline$ $10 = 20q + 80$
Isolate term with $q$ : Subtract $80$ from both sides of the equation to isolate the term with $q$ on one side. $\newline$ $10 - 80 = 20q + 80 - 80$
Subtract and simplify: Simplify the equation after subtraction. $\newline$ $-70 = 20q$
Divide both sides: Divide both sides of the equation by $20$ to solve for $q$ . $\newline$ $-70 / 20 = 20q / 20$
Find value of q: Simplify the division to find the value of $q$ . $q = -3.5$