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Simplifying 10(m + 5 + 5n) = 0 Reorder the terms: 10(5 + m + 5n) = 0 (5 * 10 + m * 10 + 5n * 10) = 0 (50 + 10m + 50n) = 0 Solving 50 + 10m + 50n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + 10m + -50 + 50n = 0 + -50 Reorder the terms: 50 + -50 + 10m + 50n = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 10m + 50n = 0 + -50 10m + 50n = 0 + -50 Combine like terms: 0 + -50 = -50 10m + 50n = -50 Add '-50n' to each side of the equation. 10m + 50n + -50n = -50 + -50n Combine like terms: 50n + -50n = 0 10m + 0 = -50 + -50n 10m = -50 + -50n Divide each side by '10'. m = -5 + -5n Simplifying m = -5 + -5n
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