Question

12m-6+2m(8-5)-(3m-6)(7-2)=0 then the value of m​

Answer 1

Step-by-step explanation:

Simplifying

12m + -6 + 2m(8 + -5) + -1(3m + -6)(7 + -2) = 0

Combine like terms: 8 + -5 = 3

12m + -6 + 2m(3) + -1(3m + -6)(7 + -2) = 0

Reorder the terms for easier multiplication:

12m + -6 + 2 * 3m + -1(3m + -6)(7 + -2) = 0

Multiply 2 * 3

12m + -6 + 6m + -1(3m + -6)(7 + -2) = 0

Reorder the terms:

12m + -6 + 6m + -1(-6 + 3m)(7 + -2) = 0

Combine like terms: 7 + -2 = 5

12m + -6 + 6m + -1(-6 + 3m)(5) = 0

Reorder the terms for easier multiplication:

12m + -6 + 6m + -1 * 5(-6 + 3m) = 0

Multiply -1 * 5

12m + -6 + 6m + -5(-6 + 3m) = 0

12m + -6 + 6m + (-6 * -5 + 3m * -5) = 0

12m + -6 + 6m + (30 + -15m) = 0

Reorder the terms:

-6 + 30 + 12m + 6m + -15m = 0

Combine like terms: -6 + 30 = 24

24 + 12m + 6m + -15m = 0

Combine like terms: 12m + 6m = 18m

24 + 18m + -15m = 0

Combine like terms: 18m + -15m = 3m

24 + 3m = 0

Solving

24 + 3m = 0

Solving for variable 'm'.

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

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

24 + -24 + 3m = 0 + -24

Combine like terms: 24 + -24 = 0

0 + 3m = 0 + -24

3m = 0 + -24

Combine like terms: 0 + -24 = -24

3m = -24

Divide each side by '3'.

m = -8

Simplifying

m = -8