4(m-27)-5(4m-16)=20

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Solution for 4(m-27)-5(4m-16)=20 equation:


Simplifying
4(m + -27) + -5(4m + -16) = 20

Reorder the terms:
4(-27 + m) + -5(4m + -16) = 20
(-27 * 4 + m * 4) + -5(4m + -16) = 20
(-108 + 4m) + -5(4m + -16) = 20

Reorder the terms:
-108 + 4m + -5(-16 + 4m) = 20
-108 + 4m + (-16 * -5 + 4m * -5) = 20
-108 + 4m + (80 + -20m) = 20

Reorder the terms:
-108 + 80 + 4m + -20m = 20

Combine like terms: -108 + 80 = -28
-28 + 4m + -20m = 20

Combine like terms: 4m + -20m = -16m
-28 + -16m = 20

Solving
-28 + -16m = 20

Solving for variable 'm'.

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

Add '28' to each side of the equation.
-28 + 28 + -16m = 20 + 28

Combine like terms: -28 + 28 = 0
0 + -16m = 20 + 28
-16m = 20 + 28

Combine like terms: 20 + 28 = 48
-16m = 48

Divide each side by '-16'.
m = -3

Simplifying
m = -3

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