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Simplifying 4(m + -12) = 2(1 + -3m) Reorder the terms: 4(-12 + m) = 2(1 + -3m) (-12 * 4 + m * 4) = 2(1 + -3m) (-48 + 4m) = 2(1 + -3m) -48 + 4m = (1 * 2 + -3m * 2) -48 + 4m = (2 + -6m) Solving -48 + 4m = 2 + -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. -48 + 4m + 6m = 2 + -6m + 6m Combine like terms: 4m + 6m = 10m -48 + 10m = 2 + -6m + 6m Combine like terms: -6m + 6m = 0 -48 + 10m = 2 + 0 -48 + 10m = 2 Add '48' to each side of the equation. -48 + 48 + 10m = 2 + 48 Combine like terms: -48 + 48 = 0 0 + 10m = 2 + 48 10m = 2 + 48 Combine like terms: 2 + 48 = 50 10m = 50 Divide each side by '10'. m = 5 Simplifying m = 5
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