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Simplifying 32 + -5n = -8n + 8(5n + 5) Reorder the terms: 32 + -5n = -8n + 8(5 + 5n) 32 + -5n = -8n + (5 * 8 + 5n * 8) 32 + -5n = -8n + (40 + 40n) Reorder the terms: 32 + -5n = 40 + -8n + 40n Combine like terms: -8n + 40n = 32n 32 + -5n = 40 + 32n Solving 32 + -5n = 40 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 32 + -5n + -32n = 40 + 32n + -32n Combine like terms: -5n + -32n = -37n 32 + -37n = 40 + 32n + -32n Combine like terms: 32n + -32n = 0 32 + -37n = 40 + 0 32 + -37n = 40 Add '-32' to each side of the equation. 32 + -32 + -37n = 40 + -32 Combine like terms: 32 + -32 = 0 0 + -37n = 40 + -32 -37n = 40 + -32 Combine like terms: 40 + -32 = 8 -37n = 8 Divide each side by '-37'. n = -0.2162162162 Simplifying n = -0.2162162162
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