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Simplifying 4(2m + 5n) + -3(n + -7n) = 0 (2m * 4 + 5n * 4) + -3(n + -7n) = 0 (8m + 20n) + -3(n + -7n) = 0 Combine like terms: n + -7n = -6n 8m + 20n + -3(-6n) = 0 Remove parenthesis around (-6n) 8m + 20n + -3 * -6n = 0 Multiply -3 * -6 8m + 20n + 18n = 0 Combine like terms: 20n + 18n = 38n 8m + 38n = 0 Solving 8m + 38n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-38n' to each side of the equation. 8m + 38n + -38n = 0 + -38n Combine like terms: 38n + -38n = 0 8m + 0 = 0 + -38n 8m = 0 + -38n Remove the zero: 8m = -38n Divide each side by '8'. m = -4.75n Simplifying m = -4.75n
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