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Simplifying 2(m + -5n + 7) = 0 Reorder the terms: 2(7 + m + -5n) = 0 (7 * 2 + m * 2 + -5n * 2) = 0 (14 + 2m + -10n) = 0 Solving 14 + 2m + -10n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 2m + -14 + -10n = 0 + -14 Reorder the terms: 14 + -14 + 2m + -10n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2m + -10n = 0 + -14 2m + -10n = 0 + -14 Combine like terms: 0 + -14 = -14 2m + -10n = -14 Add '10n' to each side of the equation. 2m + -10n + 10n = -14 + 10n Combine like terms: -10n + 10n = 0 2m + 0 = -14 + 10n 2m = -14 + 10n Divide each side by '2'. m = -7 + 5n Simplifying m = -7 + 5n
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