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Simplifying 5(m + n + 3) = 0 Reorder the terms: 5(3 + m + n) = 0 (3 * 5 + m * 5 + n * 5) = 0 (15 + 5m + 5n) = 0 Solving 15 + 5m + 5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 5m + -15 + 5n = 0 + -15 Reorder the terms: 15 + -15 + 5m + 5n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 5m + 5n = 0 + -15 5m + 5n = 0 + -15 Combine like terms: 0 + -15 = -15 5m + 5n = -15 Add '-5n' to each side of the equation. 5m + 5n + -5n = -15 + -5n Combine like terms: 5n + -5n = 0 5m + 0 = -15 + -5n 5m = -15 + -5n Divide each side by '5'. m = -3 + -1n Simplifying m = -3 + -1n
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