Question

Solve for m 4(1 + 0.5m) = 7m

Answer 1

Answer:

$m=\frac{4}{5}$

Step-by-step explanation:

Expand 4(1+0.5m): 4+2m

$4\left(1+0.5m\right)$

$a=4,\:b=1,\:c=0.5m$

$=4\cdot \:1+4\cdot \:0.5m$

Simplify 4*1+4*0.5m: 4+2m

$4\cdot \:1+4\cdot \:0.5m$

$\mathrm{Multiply\:the\:numbers:}\:4\cdot \:1=4$

$=4+4\cdot \:0.5m$

$\mathrm{Multiply\:the\:numbers:}\:4\cdot \:0.5=2$

$=4+2m$

$4+2m=7m$

$\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}$

$4+2m-4=7m-4$

$\mathrm{Simplify}$

$2m=7m-4$

$\mathrm{Subtract\:}7m\mathrm{\:from\:both\:sides}$

$2m-7m=7m-4-7m$

$\mathrm{Simplify}$

$-5m=-4$

$\mathrm{Divide\:both\:sides\:by\:}-5$

$\frac{-5m}{-5}=\frac{-4}{-5}$

$\mathrm{Simplify}$

$m=\frac{4}{5}$