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Simplifying 17 + -1(2m + 7) = 2 + 2m + -16 Reorder the terms: 17 + -1(7 + 2m) = 2 + 2m + -16 17 + (7 * -1 + 2m * -1) = 2 + 2m + -16 17 + (-7 + -2m) = 2 + 2m + -16 Combine like terms: 17 + -7 = 10 10 + -2m = 2 + 2m + -16 Reorder the terms: 10 + -2m = 2 + -16 + 2m Combine like terms: 2 + -16 = -14 10 + -2m = -14 + 2m Solving 10 + -2m = -14 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 10 + -2m + -2m = -14 + 2m + -2m Combine like terms: -2m + -2m = -4m 10 + -4m = -14 + 2m + -2m Combine like terms: 2m + -2m = 0 10 + -4m = -14 + 0 10 + -4m = -14 Add '-10' to each side of the equation. 10 + -10 + -4m = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -4m = -14 + -10 -4m = -14 + -10 Combine like terms: -14 + -10 = -24 -4m = -24 Divide each side by '-4'. m = 6 Simplifying m = 6
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