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Simplifying 7(n + 7) = 10(n + 7) Reorder the terms: 7(7 + n) = 10(n + 7) (7 * 7 + n * 7) = 10(n + 7) (49 + 7n) = 10(n + 7) Reorder the terms: 49 + 7n = 10(7 + n) 49 + 7n = (7 * 10 + n * 10) 49 + 7n = (70 + 10n) Solving 49 + 7n = 70 + 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. 49 + 7n + -10n = 70 + 10n + -10n Combine like terms: 7n + -10n = -3n 49 + -3n = 70 + 10n + -10n Combine like terms: 10n + -10n = 0 49 + -3n = 70 + 0 49 + -3n = 70 Add '-49' to each side of the equation. 49 + -49 + -3n = 70 + -49 Combine like terms: 49 + -49 = 0 0 + -3n = 70 + -49 -3n = 70 + -49 Combine like terms: 70 + -49 = 21 -3n = 21 Divide each side by '-3'. n = -7 Simplifying n = -7
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