6(2m)-4(2m+1)=13

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Solution for 6(2m)-4(2m+1)=13 equation:


Simplifying
6(2m) + -4(2m + 1) = 13

Remove parenthesis around (2m)
6 * 2m + -4(2m + 1) = 13

Multiply 6 * 2
12m + -4(2m + 1) = 13

Reorder the terms:
12m + -4(1 + 2m) = 13
12m + (1 * -4 + 2m * -4) = 13
12m + (-4 + -8m) = 13

Reorder the terms:
-4 + 12m + -8m = 13

Combine like terms: 12m + -8m = 4m
-4 + 4m = 13

Solving
-4 + 4m = 13

Solving for variable 'm'.

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

Add '4' to each side of the equation.
-4 + 4 + 4m = 13 + 4

Combine like terms: -4 + 4 = 0
0 + 4m = 13 + 4
4m = 13 + 4

Combine like terms: 13 + 4 = 17
4m = 17

Divide each side by '4'.
m = 4.25

Simplifying
m = 4.25

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