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Simplifying 477 = -6 + 3(n + -1) Reorder the terms: 477 = -6 + 3(-1 + n) 477 = -6 + (-1 * 3 + n * 3) 477 = -6 + (-3 + 3n) Combine like terms: -6 + -3 = -9 477 = -9 + 3n Solving 477 = -9 + 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. 477 + -3n = -9 + 3n + -3n Combine like terms: 3n + -3n = 0 477 + -3n = -9 + 0 477 + -3n = -9 Add '-477' to each side of the equation. 477 + -477 + -3n = -9 + -477 Combine like terms: 477 + -477 = 0 0 + -3n = -9 + -477 -3n = -9 + -477 Combine like terms: -9 + -477 = -486 -3n = -486 Divide each side by '-3'. n = 162 Simplifying n = 162
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