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Simplifying 5(1 + n) + 5 = 3n + -2 (1 * 5 + n * 5) + 5 = 3n + -2 (5 + 5n) + 5 = 3n + -2 Reorder the terms: 5 + 5 + 5n = 3n + -2 Combine like terms: 5 + 5 = 10 10 + 5n = 3n + -2 Reorder the terms: 10 + 5n = -2 + 3n Solving 10 + 5n = -2 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 10 + 5n + -3n = -2 + 3n + -3n Combine like terms: 5n + -3n = 2n 10 + 2n = -2 + 3n + -3n Combine like terms: 3n + -3n = 0 10 + 2n = -2 + 0 10 + 2n = -2 Add '-10' to each side of the equation. 10 + -10 + 2n = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 2n = -2 + -10 2n = -2 + -10 Combine like terms: -2 + -10 = -12 2n = -12 Divide each side by '2'. n = -6 Simplifying n = -6
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