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Simplifying -2(m + -4n) + -3(5n + 6) = 0 (m * -2 + -4n * -2) + -3(5n + 6) = 0 (-2m + 8n) + -3(5n + 6) = 0 Reorder the terms: -2m + 8n + -3(6 + 5n) = 0 -2m + 8n + (6 * -3 + 5n * -3) = 0 -2m + 8n + (-18 + -15n) = 0 Reorder the terms: -18 + -2m + 8n + -15n = 0 Combine like terms: 8n + -15n = -7n -18 + -2m + -7n = 0 Solving -18 + -2m + -7n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -2m + 18 + -7n = 0 + 18 Reorder the terms: -18 + 18 + -2m + -7n = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -2m + -7n = 0 + 18 -2m + -7n = 0 + 18 Combine like terms: 0 + 18 = 18 -2m + -7n = 18 Add '7n' to each side of the equation. -2m + -7n + 7n = 18 + 7n Combine like terms: -7n + 7n = 0 -2m + 0 = 18 + 7n -2m = 18 + 7n Divide each side by '-2'. m = -9 + -3.5n Simplifying m = -9 + -3.5n
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