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Simplifying -2(1 + 3m) = 3m + 16 (1 * -2 + 3m * -2) = 3m + 16 (-2 + -6m) = 3m + 16 Reorder the terms: -2 + -6m = 16 + 3m Solving -2 + -6m = 16 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -2 + -6m + -3m = 16 + 3m + -3m Combine like terms: -6m + -3m = -9m -2 + -9m = 16 + 3m + -3m Combine like terms: 3m + -3m = 0 -2 + -9m = 16 + 0 -2 + -9m = 16 Add '2' to each side of the equation. -2 + 2 + -9m = 16 + 2 Combine like terms: -2 + 2 = 0 0 + -9m = 16 + 2 -9m = 16 + 2 Combine like terms: 16 + 2 = 18 -9m = 18 Divide each side by '-9'. m = -2 Simplifying m = -2
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