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Simplifying 35 + 6m = -2m + -7(8 + -3m) 35 + 6m = -2m + (8 * -7 + -3m * -7) 35 + 6m = -2m + (-56 + 21m) Reorder the terms: 35 + 6m = -56 + -2m + 21m Combine like terms: -2m + 21m = 19m 35 + 6m = -56 + 19m Solving 35 + 6m = -56 + 19m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-19m' to each side of the equation. 35 + 6m + -19m = -56 + 19m + -19m Combine like terms: 6m + -19m = -13m 35 + -13m = -56 + 19m + -19m Combine like terms: 19m + -19m = 0 35 + -13m = -56 + 0 35 + -13m = -56 Add '-35' to each side of the equation. 35 + -35 + -13m = -56 + -35 Combine like terms: 35 + -35 = 0 0 + -13m = -56 + -35 -13m = -56 + -35 Combine like terms: -56 + -35 = -91 -13m = -91 Divide each side by '-13'. m = 7 Simplifying m = 7
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