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Simplifying 6(m + 5) = -3(-4 + -1m) + 30 Reorder the terms: 6(5 + m) = -3(-4 + -1m) + 30 (5 * 6 + m * 6) = -3(-4 + -1m) + 30 (30 + 6m) = -3(-4 + -1m) + 30 30 + 6m = (-4 * -3 + -1m * -3) + 30 30 + 6m = (12 + 3m) + 30 Reorder the terms: 30 + 6m = 12 + 30 + 3m Combine like terms: 12 + 30 = 42 30 + 6m = 42 + 3m Solving 30 + 6m = 42 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 30 + 6m + -3m = 42 + 3m + -3m Combine like terms: 6m + -3m = 3m 30 + 3m = 42 + 3m + -3m Combine like terms: 3m + -3m = 0 30 + 3m = 42 + 0 30 + 3m = 42 Add '-30' to each side of the equation. 30 + -30 + 3m = 42 + -30 Combine like terms: 30 + -30 = 0 0 + 3m = 42 + -30 3m = 42 + -30 Combine like terms: 42 + -30 = 12 3m = 12 Divide each side by '3'. m = 4 Simplifying m = 4
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