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Simplifying 16 + -1(3m + 6) = 5 + 3m + -13 Reorder the terms: 16 + -1(6 + 3m) = 5 + 3m + -13 16 + (6 * -1 + 3m * -1) = 5 + 3m + -13 16 + (-6 + -3m) = 5 + 3m + -13 Combine like terms: 16 + -6 = 10 10 + -3m = 5 + 3m + -13 Reorder the terms: 10 + -3m = 5 + -13 + 3m Combine like terms: 5 + -13 = -8 10 + -3m = -8 + 3m Solving 10 + -3m = -8 + 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. 10 + -3m + -3m = -8 + 3m + -3m Combine like terms: -3m + -3m = -6m 10 + -6m = -8 + 3m + -3m Combine like terms: 3m + -3m = 0 10 + -6m = -8 + 0 10 + -6m = -8 Add '-10' to each side of the equation. 10 + -10 + -6m = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -6m = -8 + -10 -6m = -8 + -10 Combine like terms: -8 + -10 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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