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Simplifying 10(n + -1) + 18 = 7(n + 3 + -1) Reorder the terms: 10(-1 + n) + 18 = 7(n + 3 + -1) (-1 * 10 + n * 10) + 18 = 7(n + 3 + -1) (-10 + 10n) + 18 = 7(n + 3 + -1) Reorder the terms: -10 + 18 + 10n = 7(n + 3 + -1) Combine like terms: -10 + 18 = 8 8 + 10n = 7(n + 3 + -1) Reorder the terms: 8 + 10n = 7(3 + -1 + n) Combine like terms: 3 + -1 = 2 8 + 10n = 7(2 + n) 8 + 10n = (2 * 7 + n * 7) 8 + 10n = (14 + 7n) Solving 8 + 10n = 14 + 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. 8 + 10n + -7n = 14 + 7n + -7n Combine like terms: 10n + -7n = 3n 8 + 3n = 14 + 7n + -7n Combine like terms: 7n + -7n = 0 8 + 3n = 14 + 0 8 + 3n = 14 Add '-8' to each side of the equation. 8 + -8 + 3n = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 3n = 14 + -8 3n = 14 + -8 Combine like terms: 14 + -8 = 6 3n = 6 Divide each side by '3'. n = 2 Simplifying n = 2
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