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Simplifying 17 + -1(2m + 7) = 5 + 2m + -11 Reorder the terms: 17 + -1(7 + 2m) = 5 + 2m + -11 17 + (7 * -1 + 2m * -1) = 5 + 2m + -11 17 + (-7 + -2m) = 5 + 2m + -11 Combine like terms: 17 + -7 = 10 10 + -2m = 5 + 2m + -11 Reorder the terms: 10 + -2m = 5 + -11 + 2m Combine like terms: 5 + -11 = -6 10 + -2m = -6 + 2m Solving 10 + -2m = -6 + 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 = -6 + 2m + -2m Combine like terms: -2m + -2m = -4m 10 + -4m = -6 + 2m + -2m Combine like terms: 2m + -2m = 0 10 + -4m = -6 + 0 10 + -4m = -6 Add '-10' to each side of the equation. 10 + -10 + -4m = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -4m = -6 + -10 -4m = -6 + -10 Combine like terms: -6 + -10 = -16 -4m = -16 Divide each side by '-4'. m = 4 Simplifying m = 4
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