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Simplifying 2(5n + 6) = 15n + 17 Reorder the terms: 2(6 + 5n) = 15n + 17 (6 * 2 + 5n * 2) = 15n + 17 (12 + 10n) = 15n + 17 Reorder the terms: 12 + 10n = 17 + 15n Solving 12 + 10n = 17 + 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. 12 + 10n + -15n = 17 + 15n + -15n Combine like terms: 10n + -15n = -5n 12 + -5n = 17 + 15n + -15n Combine like terms: 15n + -15n = 0 12 + -5n = 17 + 0 12 + -5n = 17 Add '-12' to each side of the equation. 12 + -12 + -5n = 17 + -12 Combine like terms: 12 + -12 = 0 0 + -5n = 17 + -12 -5n = 17 + -12 Combine like terms: 17 + -12 = 5 -5n = 5 Divide each side by '-5'. n = -1 Simplifying n = -1
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