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Simplifying -3(4m + 3) + -5 = -30 + -8m Reorder the terms: -3(3 + 4m) + -5 = -30 + -8m (3 * -3 + 4m * -3) + -5 = -30 + -8m (-9 + -12m) + -5 = -30 + -8m Reorder the terms: -9 + -5 + -12m = -30 + -8m Combine like terms: -9 + -5 = -14 -14 + -12m = -30 + -8m Solving -14 + -12m = -30 + -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. -14 + -12m + 8m = -30 + -8m + 8m Combine like terms: -12m + 8m = -4m -14 + -4m = -30 + -8m + 8m Combine like terms: -8m + 8m = 0 -14 + -4m = -30 + 0 -14 + -4m = -30 Add '14' to each side of the equation. -14 + 14 + -4m = -30 + 14 Combine like terms: -14 + 14 = 0 0 + -4m = -30 + 14 -4m = -30 + 14 Combine like terms: -30 + 14 = -16 -4m = -16 Divide each side by '-4'. m = 4 Simplifying m = 4
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