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Simplifying 3(m + 2n) + 4(2m + 2) = 0 (m * 3 + 2n * 3) + 4(2m + 2) = 0 (3m + 6n) + 4(2m + 2) = 0 Reorder the terms: 3m + 6n + 4(2 + 2m) = 0 3m + 6n + (2 * 4 + 2m * 4) = 0 3m + 6n + (8 + 8m) = 0 Reorder the terms: 8 + 3m + 8m + 6n = 0 Combine like terms: 3m + 8m = 11m 8 + 11m + 6n = 0 Solving 8 + 11m + 6n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 11m + -8 + 6n = 0 + -8 Reorder the terms: 8 + -8 + 11m + 6n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 11m + 6n = 0 + -8 11m + 6n = 0 + -8 Combine like terms: 0 + -8 = -8 11m + 6n = -8 Add '-6n' to each side of the equation. 11m + 6n + -6n = -8 + -6n Combine like terms: 6n + -6n = 0 11m + 0 = -8 + -6n 11m = -8 + -6n Divide each side by '11'. m = -0.7272727273 + -0.5454545455n Simplifying m = -0.7272727273 + -0.5454545455n
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