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Simplifying 17 + -1(2m + 3) = 2 + 4m + -18 Reorder the terms: 17 + -1(3 + 2m) = 2 + 4m + -18 17 + (3 * -1 + 2m * -1) = 2 + 4m + -18 17 + (-3 + -2m) = 2 + 4m + -18 Combine like terms: 17 + -3 = 14 14 + -2m = 2 + 4m + -18 Reorder the terms: 14 + -2m = 2 + -18 + 4m Combine like terms: 2 + -18 = -16 14 + -2m = -16 + 4m Solving 14 + -2m = -16 + 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. 14 + -2m + -4m = -16 + 4m + -4m Combine like terms: -2m + -4m = -6m 14 + -6m = -16 + 4m + -4m Combine like terms: 4m + -4m = 0 14 + -6m = -16 + 0 14 + -6m = -16 Add '-14' to each side of the equation. 14 + -14 + -6m = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -6m = -16 + -14 -6m = -16 + -14 Combine like terms: -16 + -14 = -30 -6m = -30 Divide each side by '-6'. m = 5 Simplifying m = 5
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