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Simplifying -100 = -3(7 + 4m) + 5 -100 = (7 * -3 + 4m * -3) + 5 -100 = (-21 + -12m) + 5 Reorder the terms: -100 = -21 + 5 + -12m Combine like terms: -21 + 5 = -16 -100 = -16 + -12m Solving -100 = -16 + -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 = -16 + -12m + 12m Combine like terms: -12m + 12m = 0 -100 + 12m = -16 + 0 -100 + 12m = -16 Add '100' to each side of the equation. -100 + 100 + 12m = -16 + 100 Combine like terms: -100 + 100 = 0 0 + 12m = -16 + 100 12m = -16 + 100 Combine like terms: -16 + 100 = 84 12m = 84 Divide each side by '12'. m = 7 Simplifying m = 7
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