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Simplifying 3(6n + 6) = 7(-3 + 2n) + -1 Reorder the terms: 3(6 + 6n) = 7(-3 + 2n) + -1 (6 * 3 + 6n * 3) = 7(-3 + 2n) + -1 (18 + 18n) = 7(-3 + 2n) + -1 18 + 18n = (-3 * 7 + 2n * 7) + -1 18 + 18n = (-21 + 14n) + -1 Reorder the terms: 18 + 18n = -21 + -1 + 14n Combine like terms: -21 + -1 = -22 18 + 18n = -22 + 14n Solving 18 + 18n = -22 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 18 + 18n + -14n = -22 + 14n + -14n Combine like terms: 18n + -14n = 4n 18 + 4n = -22 + 14n + -14n Combine like terms: 14n + -14n = 0 18 + 4n = -22 + 0 18 + 4n = -22 Add '-18' to each side of the equation. 18 + -18 + 4n = -22 + -18 Combine like terms: 18 + -18 = 0 0 + 4n = -22 + -18 4n = -22 + -18 Combine like terms: -22 + -18 = -40 4n = -40 Divide each side by '4'. n = -10 Simplifying n = -10
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