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Simplifying 17 + -1(3m + 5) = 4 + 3m + -16 Reorder the terms: 17 + -1(5 + 3m) = 4 + 3m + -16 17 + (5 * -1 + 3m * -1) = 4 + 3m + -16 17 + (-5 + -3m) = 4 + 3m + -16 Combine like terms: 17 + -5 = 12 12 + -3m = 4 + 3m + -16 Reorder the terms: 12 + -3m = 4 + -16 + 3m Combine like terms: 4 + -16 = -12 12 + -3m = -12 + 3m Solving 12 + -3m = -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. 12 + -3m + -3m = -12 + 3m + -3m Combine like terms: -3m + -3m = -6m 12 + -6m = -12 + 3m + -3m Combine like terms: 3m + -3m = 0 12 + -6m = -12 + 0 12 + -6m = -12 Add '-12' to each side of the equation. 12 + -12 + -6m = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -6m = -12 + -12 -6m = -12 + -12 Combine like terms: -12 + -12 = -24 -6m = -24 Divide each side by '-6'. m = 4 Simplifying m = 4
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