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Simplifying 7n + 5(3 + -4n) = -39 + 5n 7n + (3 * 5 + -4n * 5) = -39 + 5n 7n + (15 + -20n) = -39 + 5n Reorder the terms: 15 + 7n + -20n = -39 + 5n Combine like terms: 7n + -20n = -13n 15 + -13n = -39 + 5n Solving 15 + -13n = -39 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 15 + -13n + -5n = -39 + 5n + -5n Combine like terms: -13n + -5n = -18n 15 + -18n = -39 + 5n + -5n Combine like terms: 5n + -5n = 0 15 + -18n = -39 + 0 15 + -18n = -39 Add '-15' to each side of the equation. 15 + -15 + -18n = -39 + -15 Combine like terms: 15 + -15 = 0 0 + -18n = -39 + -15 -18n = -39 + -15 Combine like terms: -39 + -15 = -54 -18n = -54 Divide each side by '-18'. n = 3 Simplifying n = 3
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