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Simplifying 17 + -1(5m + 3) = 2 + 2m + -16 Reorder the terms: 17 + -1(3 + 5m) = 2 + 2m + -16 17 + (3 * -1 + 5m * -1) = 2 + 2m + -16 17 + (-3 + -5m) = 2 + 2m + -16 Combine like terms: 17 + -3 = 14 14 + -5m = 2 + 2m + -16 Reorder the terms: 14 + -5m = 2 + -16 + 2m Combine like terms: 2 + -16 = -14 14 + -5m = -14 + 2m Solving 14 + -5m = -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. 14 + -5m + -2m = -14 + 2m + -2m Combine like terms: -5m + -2m = -7m 14 + -7m = -14 + 2m + -2m Combine like terms: 2m + -2m = 0 14 + -7m = -14 + 0 14 + -7m = -14 Add '-14' to each side of the equation. 14 + -14 + -7m = -14 + -14 Combine like terms: 14 + -14 = 0 0 + -7m = -14 + -14 -7m = -14 + -14 Combine like terms: -14 + -14 = -28 -7m = -28 Divide each side by '-7'. m = 4 Simplifying m = 4
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