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Simplifying 16 + -1(2m + 3) = 3 + 3m + -15 Reorder the terms: 16 + -1(3 + 2m) = 3 + 3m + -15 16 + (3 * -1 + 2m * -1) = 3 + 3m + -15 16 + (-3 + -2m) = 3 + 3m + -15 Combine like terms: 16 + -3 = 13 13 + -2m = 3 + 3m + -15 Reorder the terms: 13 + -2m = 3 + -15 + 3m Combine like terms: 3 + -15 = -12 13 + -2m = -12 + 3m Solving 13 + -2m = -12 + 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. 13 + -2m + -3m = -12 + 3m + -3m Combine like terms: -2m + -3m = -5m 13 + -5m = -12 + 3m + -3m Combine like terms: 3m + -3m = 0 13 + -5m = -12 + 0 13 + -5m = -12 Add '-13' to each side of the equation. 13 + -13 + -5m = -12 + -13 Combine like terms: 13 + -13 = 0 0 + -5m = -12 + -13 -5m = -12 + -13 Combine like terms: -12 + -13 = -25 -5m = -25 Divide each side by '-5'. m = 5 Simplifying m = 5
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