-7(1-4)=13(2m-3)

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Solution for -7(1-4)=13(2m-3) equation:


Simplifying
-7(1 + -4) = 13(2m + -3)

Combine like terms: 1 + -4 = -3
-7(-3) = 13(2m + -3)

Multiply -7 * -3
21 = 13(2m + -3)

Reorder the terms:
21 = 13(-3 + 2m)
21 = (-3 * 13 + 2m * 13)
21 = (-39 + 26m)

Solving
21 = -39 + 26m

Solving for variable 'm'.

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

Add '-26m' to each side of the equation.
21 + -26m = -39 + 26m + -26m

Combine like terms: 26m + -26m = 0
21 + -26m = -39 + 0
21 + -26m = -39

Add '-21' to each side of the equation.
21 + -21 + -26m = -39 + -21

Combine like terms: 21 + -21 = 0
0 + -26m = -39 + -21
-26m = -39 + -21

Combine like terms: -39 + -21 = -60
-26m = -60

Divide each side by '-26'.
m = 2.307692308

Simplifying
m = 2.307692308

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