Question

5(1 + 4m) – 2m = -13

Answer 1

`\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 = ( - 18)/(18)`

➼
`\: m = - 1`

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

`5 \: (1 + 4 * - 1) - 2 * - 1 = - 13`

➼
`\: 5 \: (1 - 4) + 2 = - 13`

➼
`\: 5 * ( - 3) + 2 = - 13`

➼
`\: - 15 + 2 = - 13`

➼
`\: - 13 = - 13`

➼
`\: L.H.S.=R. H. S`

Hence verified.

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

Answer 2

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.

#teamtrees #PAW (Plant And Water)