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Simplifying -8(n + -2) + -7(1 + 5m) = 52 Reorder the terms: -8(-2 + n) + -7(1 + 5m) = 52 (-2 * -8 + n * -8) + -7(1 + 5m) = 52 (16 + -8n) + -7(1 + 5m) = 52 16 + -8n + (1 * -7 + 5m * -7) = 52 16 + -8n + (-7 + -35m) = 52 Reorder the terms: 16 + -7 + -35m + -8n = 52 Combine like terms: 16 + -7 = 9 9 + -35m + -8n = 52 Solving 9 + -35m + -8n = 52 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -35m + -9 + -8n = 52 + -9 Reorder the terms: 9 + -9 + -35m + -8n = 52 + -9 Combine like terms: 9 + -9 = 0 0 + -35m + -8n = 52 + -9 -35m + -8n = 52 + -9 Combine like terms: 52 + -9 = 43 -35m + -8n = 43 Add '8n' to each side of the equation. -35m + -8n + 8n = 43 + 8n Combine like terms: -8n + 8n = 0 -35m + 0 = 43 + 8n -35m = 43 + 8n Divide each side by '-35'. m = -1.228571429 + -0.2285714286n Simplifying m = -1.228571429 + -0.2285714286n
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