Solve .45m+28-30m=.25m+40

$$.45 m + 28 - 30 m = .25 m + 40$$

Solve for m

$$m=-\frac{60}{149}\approx -0.402684564$$

Steps for Solving Linear Equation

Combine 0.45m and -30m to get -29.55m.

$$-29.55m+28=0.25m+40$$

Subtract 0.25m from both sides.

$$-29.55m+28-0.25m=40$$

Combine -29.55m and -0.25m to get -29.8m.

$$-29.8m+28=40$$

Subtract 28 from both sides.

$$-29.8m=40-28$$

Subtract 28 from 40 to get 12.

$$-29.8m=12$$

Divide both sides by -29.8.

$$m=\frac{12}{-29.8}$$

Expand \frac{12}{-29.8} by multiplying both numerator and the denominator by 10.

$$m=\frac{120}{-298}$$

Reduce the fraction \frac{120}{-298} to lowest terms by extracting and canceling out 2.

$$m=-\frac{60}{149}$$