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Simplifying -12 + -4(6m + 12) = 4(-7m + 1) Reorder the terms: -12 + -4(12 + 6m) = 4(-7m + 1) -12 + (12 * -4 + 6m * -4) = 4(-7m + 1) -12 + (-48 + -24m) = 4(-7m + 1) Combine like terms: -12 + -48 = -60 -60 + -24m = 4(-7m + 1) Reorder the terms: -60 + -24m = 4(1 + -7m) -60 + -24m = (1 * 4 + -7m * 4) -60 + -24m = (4 + -28m) Solving -60 + -24m = 4 + -28m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '28m' to each side of the equation. -60 + -24m + 28m = 4 + -28m + 28m Combine like terms: -24m + 28m = 4m -60 + 4m = 4 + -28m + 28m Combine like terms: -28m + 28m = 0 -60 + 4m = 4 + 0 -60 + 4m = 4 Add '60' to each side of the equation. -60 + 60 + 4m = 4 + 60 Combine like terms: -60 + 60 = 0 0 + 4m = 4 + 60 4m = 4 + 60 Combine like terms: 4 + 60 = 64 4m = 64 Divide each side by '4'. m = 16 Simplifying m = 16
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