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Simplifying [(8m + n) + 10] * 2 = 0 Remove parenthesis around (8m + n) [8m + n + 10] * 2 = 0 Reorder the terms: [10 + 8m + n] * 2 = 0 Reorder the terms for easier multiplication: 2[10 + 8m + n] = 0 [10 * 2 + 8m * 2 + n * 2] = 0 [20 + 16m + 2n] = 0 Solving 20 + 16m + 2n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 16m + -20 + 2n = 0 + -20 Reorder the terms: 20 + -20 + 16m + 2n = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 16m + 2n = 0 + -20 16m + 2n = 0 + -20 Combine like terms: 0 + -20 = -20 16m + 2n = -20 Add '-2n' to each side of the equation. 16m + 2n + -2n = -20 + -2n Combine like terms: 2n + -2n = 0 16m + 0 = -20 + -2n 16m = -20 + -2n Divide each side by '16'. m = -1.25 + -0.125n Simplifying m = -1.25 + -0.125n
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