Question

solve the following equation 8m = 40+3m​

Answer 1

Step-by-step explanation:

Simplifying

8m + 40 = -8(-3 + -3m)

Reorder the terms:

40 + 8m = -8(-3 + -3m)

40 + 8m = (-3 * -8 + -3m * -8)

40 + 8m = (24 + 24m)

Solving

40 + 8m = 24 + 24m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-24m' to each side of the equation.

40 + 8m + -24m = 24 + 24m + -24m

Combine like terms: 8m + -24m = -16m

40 + -16m = 24 + 24m + -24m

Combine like terms: 24m + -24m = 0

40 + -16m = 24 + 0

40 + -16m = 24

Add '-40' to each side of the equation.

40 + -40 + -16m = 24 + -40

Combine like terms: 40 + -40 = 0

0 + -16m = 24 + -40

-16m = 24 + -40

Combine like terms: 24 + -40 = -16

-16m = -16

Divide each side by '-16'.

m = 1

Simplifying

m = 1