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Simplifying 5(m + 2) + -4(m + 1) + -3 = 0 Reorder the terms: 5(2 + m) + -4(m + 1) + -3 = 0 (2 * 5 + m * 5) + -4(m + 1) + -3 = 0 (10 + 5m) + -4(m + 1) + -3 = 0 Reorder the terms: 10 + 5m + -4(1 + m) + -3 = 0 10 + 5m + (1 * -4 + m * -4) + -3 = 0 10 + 5m + (-4 + -4m) + -3 = 0 Reorder the terms: 10 + -4 + -3 + 5m + -4m = 0 Combine like terms: 10 + -4 = 6 6 + -3 + 5m + -4m = 0 Combine like terms: 6 + -3 = 3 3 + 5m + -4m = 0 Combine like terms: 5m + -4m = 1m 3 + 1m = 0 Solving 3 + 1m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1m = 0 + -3 1m = 0 + -3 Combine like terms: 0 + -3 = -3 1m = -3 Divide each side by '1'. m = -3 Simplifying m = -3
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