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Simplifying 3(n + 6) = 4n + 17 Reorder the terms: 3(6 + n) = 4n + 17 (6 * 3 + n * 3) = 4n + 17 (18 + 3n) = 4n + 17 Reorder the terms: 18 + 3n = 17 + 4n Solving 18 + 3n = 17 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 18 + 3n + -4n = 17 + 4n + -4n Combine like terms: 3n + -4n = -1n 18 + -1n = 17 + 4n + -4n Combine like terms: 4n + -4n = 0 18 + -1n = 17 + 0 18 + -1n = 17 Add '-18' to each side of the equation. 18 + -18 + -1n = 17 + -18 Combine like terms: 18 + -18 = 0 0 + -1n = 17 + -18 -1n = 17 + -18 Combine like terms: 17 + -18 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1
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