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Simplifying 5(3 + -2n) = 6n + -17 (3 * 5 + -2n * 5) = 6n + -17 (15 + -10n) = 6n + -17 Reorder the terms: 15 + -10n = -17 + 6n Solving 15 + -10n = -17 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 15 + -10n + -6n = -17 + 6n + -6n Combine like terms: -10n + -6n = -16n 15 + -16n = -17 + 6n + -6n Combine like terms: 6n + -6n = 0 15 + -16n = -17 + 0 15 + -16n = -17 Add '-15' to each side of the equation. 15 + -15 + -16n = -17 + -15 Combine like terms: 15 + -15 = 0 0 + -16n = -17 + -15 -16n = -17 + -15 Combine like terms: -17 + -15 = -32 -16n = -32 Divide each side by '-16'. n = 2 Simplifying n = 2
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