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Simplifying 17 + -1(2m + 8) = 3 + 4m + -12 Reorder the terms: 17 + -1(8 + 2m) = 3 + 4m + -12 17 + (8 * -1 + 2m * -1) = 3 + 4m + -12 17 + (-8 + -2m) = 3 + 4m + -12 Combine like terms: 17 + -8 = 9 9 + -2m = 3 + 4m + -12 Reorder the terms: 9 + -2m = 3 + -12 + 4m Combine like terms: 3 + -12 = -9 9 + -2m = -9 + 4m Solving 9 + -2m = -9 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 9 + -2m + -4m = -9 + 4m + -4m Combine like terms: -2m + -4m = -6m 9 + -6m = -9 + 4m + -4m Combine like terms: 4m + -4m = 0 9 + -6m = -9 + 0 9 + -6m = -9 Add '-9' to each side of the equation. 9 + -9 + -6m = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -6m = -9 + -9 -6m = -9 + -9 Combine like terms: -9 + -9 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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