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Simplifying 6(m + 8) + 2m = 35 + -5m Reorder the terms: 6(8 + m) + 2m = 35 + -5m (8 * 6 + m * 6) + 2m = 35 + -5m (48 + 6m) + 2m = 35 + -5m Combine like terms: 6m + 2m = 8m 48 + 8m = 35 + -5m Solving 48 + 8m = 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. 48 + 8m + 5m = 35 + -5m + 5m Combine like terms: 8m + 5m = 13m 48 + 13m = 35 + -5m + 5m Combine like terms: -5m + 5m = 0 48 + 13m = 35 + 0 48 + 13m = 35 Add '-48' to each side of the equation. 48 + -48 + 13m = 35 + -48 Combine like terms: 48 + -48 = 0 0 + 13m = 35 + -48 13m = 35 + -48 Combine like terms: 35 + -48 = -13 13m = -13 Divide each side by '13'. m = -1 Simplifying m = -1
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