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Simplifying 2 + 2(5n + 3) = 6(3n + 3) + -3n Reorder the terms: 2 + 2(3 + 5n) = 6(3n + 3) + -3n 2 + (3 * 2 + 5n * 2) = 6(3n + 3) + -3n 2 + (6 + 10n) = 6(3n + 3) + -3n Combine like terms: 2 + 6 = 8 8 + 10n = 6(3n + 3) + -3n Reorder the terms: 8 + 10n = 6(3 + 3n) + -3n 8 + 10n = (3 * 6 + 3n * 6) + -3n 8 + 10n = (18 + 18n) + -3n Combine like terms: 18n + -3n = 15n 8 + 10n = 18 + 15n Solving 8 + 10n = 18 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 8 + 10n + -15n = 18 + 15n + -15n Combine like terms: 10n + -15n = -5n 8 + -5n = 18 + 15n + -15n Combine like terms: 15n + -15n = 0 8 + -5n = 18 + 0 8 + -5n = 18 Add '-8' to each side of the equation. 8 + -8 + -5n = 18 + -8 Combine like terms: 8 + -8 = 0 0 + -5n = 18 + -8 -5n = 18 + -8 Combine like terms: 18 + -8 = 10 -5n = 10 Divide each side by '-5'. n = -2 Simplifying n = -2
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