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Simplifying 17 + -1(4m + 7) = 3 + 2m + -11 Reorder the terms: 17 + -1(7 + 4m) = 3 + 2m + -11 17 + (7 * -1 + 4m * -1) = 3 + 2m + -11 17 + (-7 + -4m) = 3 + 2m + -11 Combine like terms: 17 + -7 = 10 10 + -4m = 3 + 2m + -11 Reorder the terms: 10 + -4m = 3 + -11 + 2m Combine like terms: 3 + -11 = -8 10 + -4m = -8 + 2m Solving 10 + -4m = -8 + 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 + -4m + -2m = -8 + 2m + -2m Combine like terms: -4m + -2m = -6m 10 + -6m = -8 + 2m + -2m Combine like terms: 2m + -2m = 0 10 + -6m = -8 + 0 10 + -6m = -8 Add '-10' to each side of the equation. 10 + -10 + -6m = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -6m = -8 + -10 -6m = -8 + -10 Combine like terms: -8 + -10 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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