Question

Solve 5m+8(1+8m) =−475

Answer 1

Answer:

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

Step-by-step explanation:

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

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

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

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

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

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

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

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

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

$\text{ \underline{Remember !}} \: : \text{The \: negative \: integers \: are \: always \: added \: but \: posses \: te \: negative \: ( \: - \: ) \: sign}$

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

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

$\hookrightarrow{ \sf{ \frac{69m}{69} = \frac{ - 483}{69}}}$

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

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

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

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

~$\sf{TheAnimeGirl}$

Answer 2

Answer:

m = -7

Step-by-step 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