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Simplifying -4(1 + 3m) = -36 + -8m (1 * -4 + 3m * -4) = -36 + -8m (-4 + -12m) = -36 + -8m Solving -4 + -12m = -36 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. -4 + -12m + 8m = -36 + -8m + 8m Combine like terms: -12m + 8m = -4m -4 + -4m = -36 + -8m + 8m Combine like terms: -8m + 8m = 0 -4 + -4m = -36 + 0 -4 + -4m = -36 Add '4' to each side of the equation. -4 + 4 + -4m = -36 + 4 Combine like terms: -4 + 4 = 0 0 + -4m = -36 + 4 -4m = -36 + 4 Combine like terms: -36 + 4 = -32 -4m = -32 Divide each side by '-4'. m = 8 Simplifying m = 8
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