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Simplifying -4(m + 12) = 4m Reorder the terms: -4(12 + m) = 4m (12 * -4 + m * -4) = 4m (-48 + -4m) = 4m Solving -48 + -4m = 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -48 + -4m + -4m = 4m + -4m Combine like terms: -4m + -4m = -8m -48 + -8m = 4m + -4m Combine like terms: 4m + -4m = 0 -48 + -8m = 0 Add '48' to each side of the equation. -48 + 48 + -8m = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -8m = 0 + 48 -8m = 0 + 48 Combine like terms: 0 + 48 = 48 -8m = 48 Divide each side by '-8'. m = -6 Simplifying m = -6
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