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Simplifying -4(m + 6) = 36 + m Reorder the terms: -4(6 + m) = 36 + m (6 * -4 + m * -4) = 36 + m (-24 + -4m) = 36 + m Solving -24 + -4m = 36 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -24 + -4m + -1m = 36 + m + -1m Combine like terms: -4m + -1m = -5m -24 + -5m = 36 + m + -1m Combine like terms: m + -1m = 0 -24 + -5m = 36 + 0 -24 + -5m = 36 Add '24' to each side of the equation. -24 + 24 + -5m = 36 + 24 Combine like terms: -24 + 24 = 0 0 + -5m = 36 + 24 -5m = 36 + 24 Combine like terms: 36 + 24 = 60 -5m = 60 Divide each side by '-5'. m = -12 Simplifying m = -12
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