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Simplifying -3n + 5(1 + 8n) = -37 + -5n -3n + (1 * 5 + 8n * 5) = -37 + -5n -3n + (5 + 40n) = -37 + -5n Reorder the terms: 5 + -3n + 40n = -37 + -5n Combine like terms: -3n + 40n = 37n 5 + 37n = -37 + -5n Solving 5 + 37n = -37 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 5 + 37n + 5n = -37 + -5n + 5n Combine like terms: 37n + 5n = 42n 5 + 42n = -37 + -5n + 5n Combine like terms: -5n + 5n = 0 5 + 42n = -37 + 0 5 + 42n = -37 Add '-5' to each side of the equation. 5 + -5 + 42n = -37 + -5 Combine like terms: 5 + -5 = 0 0 + 42n = -37 + -5 42n = -37 + -5 Combine like terms: -37 + -5 = -42 42n = -42 Divide each side by '42'. n = -1 Simplifying n = -1
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