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Simplifying 2m + -1(3 + -9m + 8) = 35 + -1(3m + -62 + 4m) Reorder the terms: 2m + -1(3 + 8 + -9m) = 35 + -1(3m + -62 + 4m) Combine like terms: 3 + 8 = 11 2m + -1(11 + -9m) = 35 + -1(3m + -62 + 4m) 2m + (11 * -1 + -9m * -1) = 35 + -1(3m + -62 + 4m) 2m + (-11 + 9m) = 35 + -1(3m + -62 + 4m) Reorder the terms: -11 + 2m + 9m = 35 + -1(3m + -62 + 4m) Combine like terms: 2m + 9m = 11m -11 + 11m = 35 + -1(3m + -62 + 4m) Reorder the terms: -11 + 11m = 35 + -1(-62 + 3m + 4m) Combine like terms: 3m + 4m = 7m -11 + 11m = 35 + -1(-62 + 7m) -11 + 11m = 35 + (-62 * -1 + 7m * -1) -11 + 11m = 35 + (62 + -7m) Combine like terms: 35 + 62 = 97 -11 + 11m = 97 + -7m Solving -11 + 11m = 97 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. -11 + 11m + 7m = 97 + -7m + 7m Combine like terms: 11m + 7m = 18m -11 + 18m = 97 + -7m + 7m Combine like terms: -7m + 7m = 0 -11 + 18m = 97 + 0 -11 + 18m = 97 Add '11' to each side of the equation. -11 + 11 + 18m = 97 + 11 Combine like terms: -11 + 11 = 0 0 + 18m = 97 + 11 18m = 97 + 11 Combine like terms: 97 + 11 = 108 18m = 108 Divide each side by '18'. m = 6 Simplifying m = 6
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