m-3(2m-7)=6m+5-11

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Solution for m-3(2m-7)=6m+5-11 equation:


Simplifying
m + -3(2m + -7) = 6m + 5 + -11

Reorder the terms:
m + -3(-7 + 2m) = 6m + 5 + -11
m + (-7 * -3 + 2m * -3) = 6m + 5 + -11
m + (21 + -6m) = 6m + 5 + -11

Reorder the terms:
21 + m + -6m = 6m + 5 + -11

Combine like terms: m + -6m = -5m
21 + -5m = 6m + 5 + -11

Reorder the terms:
21 + -5m = 5 + -11 + 6m

Combine like terms: 5 + -11 = -6
21 + -5m = -6 + 6m

Solving
21 + -5m = -6 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
21 + -5m + -6m = -6 + 6m + -6m

Combine like terms: -5m + -6m = -11m
21 + -11m = -6 + 6m + -6m

Combine like terms: 6m + -6m = 0
21 + -11m = -6 + 0
21 + -11m = -6

Add '-21' to each side of the equation.
21 + -21 + -11m = -6 + -21

Combine like terms: 21 + -21 = 0
0 + -11m = -6 + -21
-11m = -6 + -21

Combine like terms: -6 + -21 = -27
-11m = -27

Divide each side by '-11'.
m = 2.454545455

Simplifying
m = 2.454545455

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