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Simplifying (n + -9) * 7 = 3n + 17 Reorder the terms: (-9 + n) * 7 = 3n + 17 Reorder the terms for easier multiplication: 7(-9 + n) = 3n + 17 (-9 * 7 + n * 7) = 3n + 17 (-63 + 7n) = 3n + 17 Reorder the terms: -63 + 7n = 17 + 3n Solving -63 + 7n = 17 + 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. -63 + 7n + -3n = 17 + 3n + -3n Combine like terms: 7n + -3n = 4n -63 + 4n = 17 + 3n + -3n Combine like terms: 3n + -3n = 0 -63 + 4n = 17 + 0 -63 + 4n = 17 Add '63' to each side of the equation. -63 + 63 + 4n = 17 + 63 Combine like terms: -63 + 63 = 0 0 + 4n = 17 + 63 4n = 17 + 63 Combine like terms: 17 + 63 = 80 4n = 80 Divide each side by '4'. n = 20 Simplifying n = 20
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