3(m-4)-(4m-11)=-5

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Solution for 3(m-4)-(4m-11)=-5 equation:


Simplifying
3(m + -4) + -1(4m + -11) = -5

Reorder the terms:
3(-4 + m) + -1(4m + -11) = -5
(-4 * 3 + m * 3) + -1(4m + -11) = -5
(-12 + 3m) + -1(4m + -11) = -5

Reorder the terms:
-12 + 3m + -1(-11 + 4m) = -5
-12 + 3m + (-11 * -1 + 4m * -1) = -5
-12 + 3m + (11 + -4m) = -5

Reorder the terms:
-12 + 11 + 3m + -4m = -5

Combine like terms: -12 + 11 = -1
-1 + 3m + -4m = -5

Combine like terms: 3m + -4m = -1m
-1 + -1m = -5

Solving
-1 + -1m = -5

Solving for variable 'm'.

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

Add '1' to each side of the equation.
-1 + 1 + -1m = -5 + 1

Combine like terms: -1 + 1 = 0
0 + -1m = -5 + 1
-1m = -5 + 1

Combine like terms: -5 + 1 = -4
-1m = -4

Divide each side by '-1'.
m = 4

Simplifying
m = 4

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