52=-2(23-m)+4(m-4)

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Solution for 52=-2(23-m)+4(m-4) equation:


Simplifying
52 = -2(23 + -1m) + 4(m + -4)
52 = (23 * -2 + -1m * -2) + 4(m + -4)
52 = (-46 + 2m) + 4(m + -4)

Reorder the terms:
52 = -46 + 2m + 4(-4 + m)
52 = -46 + 2m + (-4 * 4 + m * 4)
52 = -46 + 2m + (-16 + 4m)

Reorder the terms:
52 = -46 + -16 + 2m + 4m

Combine like terms: -46 + -16 = -62
52 = -62 + 2m + 4m

Combine like terms: 2m + 4m = 6m
52 = -62 + 6m

Solving
52 = -62 + 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.
52 + -6m = -62 + 6m + -6m

Combine like terms: 6m + -6m = 0
52 + -6m = -62 + 0
52 + -6m = -62

Add '-52' to each side of the equation.
52 + -52 + -6m = -62 + -52

Combine like terms: 52 + -52 = 0
0 + -6m = -62 + -52
-6m = -62 + -52

Combine like terms: -62 + -52 = -114
-6m = -114

Divide each side by '-6'.
m = 19

Simplifying
m = 19

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