4(m-5)+6(-3m-6)=-15(m+2)-5

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Solution for 4(m-5)+6(-3m-6)=-15(m+2)-5 equation:


Simplifying
4(m + -5) + 6(-3m + -6) = -15(m + 2) + -5

Reorder the terms:
4(-5 + m) + 6(-3m + -6) = -15(m + 2) + -5
(-5 * 4 + m * 4) + 6(-3m + -6) = -15(m + 2) + -5
(-20 + 4m) + 6(-3m + -6) = -15(m + 2) + -5

Reorder the terms:
-20 + 4m + 6(-6 + -3m) = -15(m + 2) + -5
-20 + 4m + (-6 * 6 + -3m * 6) = -15(m + 2) + -5
-20 + 4m + (-36 + -18m) = -15(m + 2) + -5

Reorder the terms:
-20 + -36 + 4m + -18m = -15(m + 2) + -5

Combine like terms: -20 + -36 = -56
-56 + 4m + -18m = -15(m + 2) + -5

Combine like terms: 4m + -18m = -14m
-56 + -14m = -15(m + 2) + -5

Reorder the terms:
-56 + -14m = -15(2 + m) + -5
-56 + -14m = (2 * -15 + m * -15) + -5
-56 + -14m = (-30 + -15m) + -5

Reorder the terms:
-56 + -14m = -30 + -5 + -15m

Combine like terms: -30 + -5 = -35
-56 + -14m = -35 + -15m

Solving
-56 + -14m = -35 + -15m

Solving for variable 'm'.

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

Add '15m' to each side of the equation.
-56 + -14m + 15m = -35 + -15m + 15m

Combine like terms: -14m + 15m = 1m
-56 + 1m = -35 + -15m + 15m

Combine like terms: -15m + 15m = 0
-56 + 1m = -35 + 0
-56 + 1m = -35

Add '56' to each side of the equation.
-56 + 56 + 1m = -35 + 56

Combine like terms: -56 + 56 = 0
0 + 1m = -35 + 56
1m = -35 + 56

Combine like terms: -35 + 56 = 21
1m = 21

Divide each side by '1'.
m = 21

Simplifying
m = 21

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