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Simplifying 9(m + -4) + 6 = 3m + 2(m + 1) Reorder the terms: 9(-4 + m) + 6 = 3m + 2(m + 1) (-4 * 9 + m * 9) + 6 = 3m + 2(m + 1) (-36 + 9m) + 6 = 3m + 2(m + 1) Reorder the terms: -36 + 6 + 9m = 3m + 2(m + 1) Combine like terms: -36 + 6 = -30 -30 + 9m = 3m + 2(m + 1) Reorder the terms: -30 + 9m = 3m + 2(1 + m) -30 + 9m = 3m + (1 * 2 + m * 2) -30 + 9m = 3m + (2 + 2m) Reorder the terms: -30 + 9m = 2 + 3m + 2m Combine like terms: 3m + 2m = 5m -30 + 9m = 2 + 5m Solving -30 + 9m = 2 + 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. -30 + 9m + -5m = 2 + 5m + -5m Combine like terms: 9m + -5m = 4m -30 + 4m = 2 + 5m + -5m Combine like terms: 5m + -5m = 0 -30 + 4m = 2 + 0 -30 + 4m = 2 Add '30' to each side of the equation. -30 + 30 + 4m = 2 + 30 Combine like terms: -30 + 30 = 0 0 + 4m = 2 + 30 4m = 2 + 30 Combine like terms: 2 + 30 = 32 4m = 32 Divide each side by '4'. m = 8 Simplifying m = 8
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