Question

Solve for m

4(1 + 0.5m) = 7m

Answer 1

`m=(4)/(5)`

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`

`(-5m)/(-5)=(-4)/(-5)`

`\mathrm{Simplify}`

`m=(4)/(5)`