2(m-24)+3(m-3)=28

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Solution for 2(m-24)+3(m-3)=28 equation:


Simplifying
2(m + -24) + 3(m + -3) = 28

Reorder the terms:
2(-24 + m) + 3(m + -3) = 28
(-24 * 2 + m * 2) + 3(m + -3) = 28
(-48 + 2m) + 3(m + -3) = 28

Reorder the terms:
-48 + 2m + 3(-3 + m) = 28
-48 + 2m + (-3 * 3 + m * 3) = 28
-48 + 2m + (-9 + 3m) = 28

Reorder the terms:
-48 + -9 + 2m + 3m = 28

Combine like terms: -48 + -9 = -57
-57 + 2m + 3m = 28

Combine like terms: 2m + 3m = 5m
-57 + 5m = 28

Solving
-57 + 5m = 28

Solving for variable 'm'.

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

Add '57' to each side of the equation.
-57 + 57 + 5m = 28 + 57

Combine like terms: -57 + 57 = 0
0 + 5m = 28 + 57
5m = 28 + 57

Combine like terms: 28 + 57 = 85
5m = 85

Divide each side by '5'.
m = 17

Simplifying
m = 17

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