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Simplifying 17 + -1(2m + 5) = 5 + 4m + -11 Reorder the terms: 17 + -1(5 + 2m) = 5 + 4m + -11 17 + (5 * -1 + 2m * -1) = 5 + 4m + -11 17 + (-5 + -2m) = 5 + 4m + -11 Combine like terms: 17 + -5 = 12 12 + -2m = 5 + 4m + -11 Reorder the terms: 12 + -2m = 5 + -11 + 4m Combine like terms: 5 + -11 = -6 12 + -2m = -6 + 4m Solving 12 + -2m = -6 + 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. 12 + -2m + -4m = -6 + 4m + -4m Combine like terms: -2m + -4m = -6m 12 + -6m = -6 + 4m + -4m Combine like terms: 4m + -4m = 0 12 + -6m = -6 + 0 12 + -6m = -6 Add '-12' to each side of the equation. 12 + -12 + -6m = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -6m = -6 + -12 -6m = -6 + -12 Combine like terms: -6 + -12 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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