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Simplifying 10 + 2n + -5(n + 1) = 2n + 5(n + -1) Reorder the terms: 10 + 2n + -5(1 + n) = 2n + 5(n + -1) 10 + 2n + (1 * -5 + n * -5) = 2n + 5(n + -1) 10 + 2n + (-5 + -5n) = 2n + 5(n + -1) Reorder the terms: 10 + -5 + 2n + -5n = 2n + 5(n + -1) Combine like terms: 10 + -5 = 5 5 + 2n + -5n = 2n + 5(n + -1) Combine like terms: 2n + -5n = -3n 5 + -3n = 2n + 5(n + -1) Reorder the terms: 5 + -3n = 2n + 5(-1 + n) 5 + -3n = 2n + (-1 * 5 + n * 5) 5 + -3n = 2n + (-5 + 5n) Reorder the terms: 5 + -3n = -5 + 2n + 5n Combine like terms: 2n + 5n = 7n 5 + -3n = -5 + 7n Solving 5 + -3n = -5 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 5 + -3n + -7n = -5 + 7n + -7n Combine like terms: -3n + -7n = -10n 5 + -10n = -5 + 7n + -7n Combine like terms: 7n + -7n = 0 5 + -10n = -5 + 0 5 + -10n = -5 Add '-5' to each side of the equation. 5 + -5 + -10n = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -10n = -5 + -5 -10n = -5 + -5 Combine like terms: -5 + -5 = -10 -10n = -10 Divide each side by '-10'. n = 1 Simplifying n = 1
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