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Simplifying 5(n + 4) = 10(n + 7) Reorder the terms: 5(4 + n) = 10(n + 7) (4 * 5 + n * 5) = 10(n + 7) (20 + 5n) = 10(n + 7) Reorder the terms: 20 + 5n = 10(7 + n) 20 + 5n = (7 * 10 + n * 10) 20 + 5n = (70 + 10n) Solving 20 + 5n = 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. 20 + 5n + -10n = 70 + 10n + -10n Combine like terms: 5n + -10n = -5n 20 + -5n = 70 + 10n + -10n Combine like terms: 10n + -10n = 0 20 + -5n = 70 + 0 20 + -5n = 70 Add '-20' to each side of the equation. 20 + -20 + -5n = 70 + -20 Combine like terms: 20 + -20 = 0 0 + -5n = 70 + -20 -5n = 70 + -20 Combine like terms: 70 + -20 = 50 -5n = 50 Divide each side by '-5'. n = -10 Simplifying n = -10
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