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Simplifying 5(m + 8) + -4(3 + m) = 30 Reorder the terms: 5(8 + m) + -4(3 + m) = 30 (8 * 5 + m * 5) + -4(3 + m) = 30 (40 + 5m) + -4(3 + m) = 30 40 + 5m + (3 * -4 + m * -4) = 30 40 + 5m + (-12 + -4m) = 30 Reorder the terms: 40 + -12 + 5m + -4m = 30 Combine like terms: 40 + -12 = 28 28 + 5m + -4m = 30 Combine like terms: 5m + -4m = 1m 28 + 1m = 30 Solving 28 + 1m = 30 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 1m = 30 + -28 Combine like terms: 28 + -28 = 0 0 + 1m = 30 + -28 1m = 30 + -28 Combine like terms: 30 + -28 = 2 1m = 2 Divide each side by '1'. m = 2 Simplifying m = 2
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