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Simplifying 5(2n + 3) = -3n + 2 Reorder the terms: 5(3 + 2n) = -3n + 2 (3 * 5 + 2n * 5) = -3n + 2 (15 + 10n) = -3n + 2 Reorder the terms: 15 + 10n = 2 + -3n Solving 15 + 10n = 2 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 15 + 10n + 3n = 2 + -3n + 3n Combine like terms: 10n + 3n = 13n 15 + 13n = 2 + -3n + 3n Combine like terms: -3n + 3n = 0 15 + 13n = 2 + 0 15 + 13n = 2 Add '-15' to each side of the equation. 15 + -15 + 13n = 2 + -15 Combine like terms: 15 + -15 = 0 0 + 13n = 2 + -15 13n = 2 + -15 Combine like terms: 2 + -15 = -13 13n = -13 Divide each side by '13'. n = -1 Simplifying n = -1
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