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Simplifying -7(8 + -3m) + -5 = 35 + 5m (8 * -7 + -3m * -7) + -5 = 35 + 5m (-56 + 21m) + -5 = 35 + 5m Reorder the terms: -56 + -5 + 21m = 35 + 5m Combine like terms: -56 + -5 = -61 -61 + 21m = 35 + 5m Solving -61 + 21m = 35 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -61 + 21m + -5m = 35 + 5m + -5m Combine like terms: 21m + -5m = 16m -61 + 16m = 35 + 5m + -5m Combine like terms: 5m + -5m = 0 -61 + 16m = 35 + 0 -61 + 16m = 35 Add '61' to each side of the equation. -61 + 61 + 16m = 35 + 61 Combine like terms: -61 + 61 = 0 0 + 16m = 35 + 61 16m = 35 + 61 Combine like terms: 35 + 61 = 96 16m = 96 Divide each side by '16'. m = 6 Simplifying m = 6
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