Question

5(1 + 4m) – 2m = -13

Answer 1

Answer and Step-by-step explanation:

Solve for m.

First, distribute the 5.

5 + 20m - 2m = -13

Combine like terms.

5 + 18m = -13

Subtract 5 from both sides of the equation.

18m = -18

Divide by 18 to both sides of the equation.

m = -1 <- This is the answer.

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Answer 2

$\longrightarrow{\green{ \: m = - 1 }}$ 

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

$5 \: (1 + 4m) - 2m = - 13$

➼ $\: 5 + 20m - 2m \: = \: - 13$

➼ $\: 18m = - 13 - 5$

➼ $\: 18m = - 18$

➼ $\: m = \frac{ - 18}{18}$

➼ $\: m = - 1$

$\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}$

$5 \: (1 + 4 \times - 1) - 2 \times - 1 = - 13$

➼ $\: 5 \: (1 - 4) + 2 = - 13$

➼ $\: 5 \times ( - 3) + 2 = - 13$

➼ $\: - 15 + 2 = - 13$

➼ $\: - 13 = - 13$

➼ $\: L.H.S.=R. H. S$

Hence verified.

$\bold{ \green{ \star{ \orange{Mystique35}}}}⋆$