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Simplifying 1 + 5(7n + 8) = -5n + -39 Reorder the terms: 1 + 5(8 + 7n) = -5n + -39 1 + (8 * 5 + 7n * 5) = -5n + -39 1 + (40 + 35n) = -5n + -39 Combine like terms: 1 + 40 = 41 41 + 35n = -5n + -39 Reorder the terms: 41 + 35n = -39 + -5n Solving 41 + 35n = -39 + -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. 41 + 35n + 5n = -39 + -5n + 5n Combine like terms: 35n + 5n = 40n 41 + 40n = -39 + -5n + 5n Combine like terms: -5n + 5n = 0 41 + 40n = -39 + 0 41 + 40n = -39 Add '-41' to each side of the equation. 41 + -41 + 40n = -39 + -41 Combine like terms: 41 + -41 = 0 0 + 40n = -39 + -41 40n = -39 + -41 Combine like terms: -39 + -41 = -80 40n = -80 Divide each side by '40'. n = -2 Simplifying n = -2
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