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Solve for $m$ . $\newline$ $\frac{1}{4}(8m + 24) = 21 - 13m$ $\newline$ $m =$ __

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Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

m

.

\newline

\frac{1}{4}(8m + 24) = 21 - 13m

\newline

m =

__

Distribute $\frac{1}{4}$ : Distribute $\frac{1}{4}$ to the terms inside the parentheses. $\newline$ $\frac{1}{4}(8m + 24) = \frac{1}{4} \times 8m + \frac{1}{4} \times 24 = 2m + 6$
Rewrite equation: Rewrite the equation with all terms involving $m$ on one side and constant terms on the other. $\newline$ $2m + 6 = 21 - 13m$ $\newline$ $2m + 13m = 21 - 6$ $\newline$ $15m = 15$
Solve for m: Solve for m by dividing both sides by $15$ . $\frac{15m}{15} = \frac{15}{15}$ $m = 1$

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