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Simplifying 4m + -1((2m + n) + -1(4m + -7n) * 2 + (2m + -8n)) = 0 Remove parenthesis around (2m + n) 4m + -1(2m + n + -1(4m + -7n) * 2 + (2m + -8n)) = 0 Reorder the terms for easier multiplication: 4m + -1(2m + n + -1 * 2(4m + -7n) + (2m + -8n)) = 0 Multiply -1 * 2 4m + -1(2m + n + -2(4m + -7n) + (2m + -8n)) = 0 4m + -1(2m + n + (4m * -2 + -7n * -2) + (2m + -8n)) = 0 4m + -1(2m + n + (-8m + 14n) + (2m + -8n)) = 0 Remove parenthesis around (2m + -8n) 4m + -1(2m + n + -8m + 14n + 2m + -8n) = 0 Reorder the terms: 4m + -1(2m + -8m + 2m + n + 14n + -8n) = 0 Combine like terms: 2m + -8m = -6m 4m + -1(-6m + 2m + n + 14n + -8n) = 0 Combine like terms: -6m + 2m = -4m 4m + -1(-4m + n + 14n + -8n) = 0 Combine like terms: n + 14n = 15n 4m + -1(-4m + 15n + -8n) = 0 Combine like terms: 15n + -8n = 7n 4m + -1(-4m + 7n) = 0 4m + (-4m * -1 + 7n * -1) = 0 4m + (4m + -7n) = 0 Combine like terms: 4m + 4m = 8m 8m + -7n = 0 Solving 8m + -7n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7n' to each side of the equation. 8m + -7n + 7n = 0 + 7n Combine like terms: -7n + 7n = 0 8m + 0 = 0 + 7n 8m = 0 + 7n Remove the zero: 8m = 7n Divide each side by '8'. m = 0.875n Simplifying m = 0.875n
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