Question

Solve 5m+8(1+8m) =−475

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \text{m = - 7}}}}}`

Explanation:

`\star{ \text{ \: 5m + 8(1 + 8m) = - 475}}`

`\text{ \text{Step \: 1 \: : Distribute \: 8 \: through \: the \: parentheses}}`

`\hookrightarrow{ \sf{5m + 8 + 64m = - 475}}`

`\text{Step \: 2 \: : \: Collect \: like \: terms}`

`\text{Like \: term \: are \: those \: which \: have \: the \: same \: base}`

`\hookrightarrow{ \sf{69m + 8 = - 475}}`

`\text{Step \: 3 \: : Move \: 8 \: to \: right \: hand \: side \: and \: change \: its \: sign}`

`\hookrightarrow{ \sf{69m = - 475 - 8}}`

`\text{step \: 3 \: : Calculate}`

`\hookrightarrow{ \sf{69m = - 483}}`

`\text{ Step \: 4 \: : Divide \: both \: sides \: by \: 69}`

`\hookrightarrow{ \sf{ (69m)/(69) = ( - 483)/(69)}}`

`\text{ Step \: 5 \: : Calculate}`

`\hookrightarrow{ \sf{m = - 7}}`

`\text{Hope \: I \: helped !!}`

`\text{Best \: regards !!}`

~
`\sf{TheAnimeGirl}`

Answer 2

m = -7

Explanation:

5m+8(1+8m)=−475

5m+(8)(1)+(8)(8m)=−475

m+8+64m=−475

(5m+64m)+(8)=−475

69m+8=−475

69m+8=−475

69m+8−8=−475−8

69m=−483

69m/69= −483/69