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Simplifying -100 = -4(1 + 3m) -100 = (1 * -4 + 3m * -4) -100 = (-4 + -12m) Solving -100 = -4 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. -100 + 12m = -4 + -12m + 12m Combine like terms: -12m + 12m = 0 -100 + 12m = -4 + 0 -100 + 12m = -4 Add '100' to each side of the equation. -100 + 100 + 12m = -4 + 100 Combine like terms: -100 + 100 = 0 0 + 12m = -4 + 100 12m = -4 + 100 Combine like terms: -4 + 100 = 96 12m = 96 Divide each side by '12'. m = 8 Simplifying m = 8
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