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Simplifying (8m + -4n) + (-6m + -10n) = 0 Remove parenthesis around (8m + -4n) 8m + -4n + (-6m + -10n) = 0 Remove parenthesis around (-6m + -10n) 8m + -4n + -6m + -10n = 0 Reorder the terms: 8m + -6m + -4n + -10n = 0 Combine like terms: 8m + -6m = 2m 2m + -4n + -10n = 0 Combine like terms: -4n + -10n = -14n 2m + -14n = 0 Solving 2m + -14n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14n' to each side of the equation. 2m + -14n + 14n = 0 + 14n Combine like terms: -14n + 14n = 0 2m + 0 = 0 + 14n 2m = 0 + 14n Remove the zero: 2m = 14n Divide each side by '2'. m = 7n Simplifying m = 7n
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