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Simplifying 4m + -1((2m + n) + -1(4m + -7n) + (2m + -8n)) = 0 Remove parenthesis around (2m + n) 4m + -1(2m + n + -1(4m + -7n) + (2m + -8n)) = 0 4m + -1(2m + n + (4m * -1 + -7n * -1) + (2m + -8n)) = 0 4m + -1(2m + n + (-4m + 7n) + (2m + -8n)) = 0 Remove parenthesis around (2m + -8n) 4m + -1(2m + n + -4m + 7n + 2m + -8n) = 0 Reorder the terms: 4m + -1(2m + -4m + 2m + n + 7n + -8n) = 0 Combine like terms: 2m + -4m = -2m 4m + -1(-2m + 2m + n + 7n + -8n) = 0 Combine like terms: -2m + 2m = 0 4m + -1(0 + n + 7n + -8n) = 0 4m + -1(n + 7n + -8n) = 0 Combine like terms: n + 7n = 8n 4m + -1(8n + -8n) = 0 Combine like terms: 8n + -8n = 0 4m + -1(0) = 0 Multiply -1 * 0 4m + 0 = 0 Anything times zero is zero. 4m + 0 = 0 Reorder the terms: 0 + 4m = 0 Remove the zero: 4m = 0 Solving 4m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Divide each side by '4'. m = 0 Simplifying m = 0
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