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Simplifying 5(m + 4) + -4(m + 3) = 0 Reorder the terms: 5(4 + m) + -4(m + 3) = 0 (4 * 5 + m * 5) + -4(m + 3) = 0 (20 + 5m) + -4(m + 3) = 0 Reorder the terms: 20 + 5m + -4(3 + m) = 0 20 + 5m + (3 * -4 + m * -4) = 0 20 + 5m + (-12 + -4m) = 0 Reorder the terms: 20 + -12 + 5m + -4m = 0 Combine like terms: 20 + -12 = 8 8 + 5m + -4m = 0 Combine like terms: 5m + -4m = 1m 8 + 1m = 0 Solving 8 + 1m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1m = 0 + -8 1m = 0 + -8 Combine like terms: 0 + -8 = -8 1m = -8 Divide each side by '1'. m = -8 Simplifying m = -8
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