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Simplifying 7(n + 2) = 10(n + -1) + 18 Reorder the terms: 7(2 + n) = 10(n + -1) + 18 (2 * 7 + n * 7) = 10(n + -1) + 18 (14 + 7n) = 10(n + -1) + 18 Reorder the terms: 14 + 7n = 10(-1 + n) + 18 14 + 7n = (-1 * 10 + n * 10) + 18 14 + 7n = (-10 + 10n) + 18 Reorder the terms: 14 + 7n = -10 + 18 + 10n Combine like terms: -10 + 18 = 8 14 + 7n = 8 + 10n Solving 14 + 7n = 8 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 14 + 7n + -10n = 8 + 10n + -10n Combine like terms: 7n + -10n = -3n 14 + -3n = 8 + 10n + -10n Combine like terms: 10n + -10n = 0 14 + -3n = 8 + 0 14 + -3n = 8 Add '-14' to each side of the equation. 14 + -14 + -3n = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -3n = 8 + -14 -3n = 8 + -14 Combine like terms: 8 + -14 = -6 -3n = -6 Divide each side by '-3'. n = 2 Simplifying n = 2
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