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Simplifying 5(9 + 4n) + -7n = 3(6n + -6) + -2n (9 * 5 + 4n * 5) + -7n = 3(6n + -6) + -2n (45 + 20n) + -7n = 3(6n + -6) + -2n Combine like terms: 20n + -7n = 13n 45 + 13n = 3(6n + -6) + -2n Reorder the terms: 45 + 13n = 3(-6 + 6n) + -2n 45 + 13n = (-6 * 3 + 6n * 3) + -2n 45 + 13n = (-18 + 18n) + -2n Combine like terms: 18n + -2n = 16n 45 + 13n = -18 + 16n Solving 45 + 13n = -18 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 45 + 13n + -16n = -18 + 16n + -16n Combine like terms: 13n + -16n = -3n 45 + -3n = -18 + 16n + -16n Combine like terms: 16n + -16n = 0 45 + -3n = -18 + 0 45 + -3n = -18 Add '-45' to each side of the equation. 45 + -45 + -3n = -18 + -45 Combine like terms: 45 + -45 = 0 0 + -3n = -18 + -45 -3n = -18 + -45 Combine like terms: -18 + -45 = -63 -3n = -63 Divide each side by '-3'. n = 21 Simplifying n = 21
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