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Simplifying 5m + 12 + 3(m + 2) = 0 Reorder the terms: 5m + 12 + 3(2 + m) = 0 5m + 12 + (2 * 3 + m * 3) = 0 5m + 12 + (6 + 3m) = 0 Reorder the terms: 12 + 6 + 5m + 3m = 0 Combine like terms: 12 + 6 = 18 18 + 5m + 3m = 0 Combine like terms: 5m + 3m = 8m 18 + 8m = 0 Solving 18 + 8m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 8m = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 8m = 0 + -18 8m = 0 + -18 Combine like terms: 0 + -18 = -18 8m = -18 Divide each side by '8'. m = -2.25 Simplifying m = -2.25
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