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Simplifying 36 + -3(2n + 6) = 7(3n + -4) Reorder the terms: 36 + -3(6 + 2n) = 7(3n + -4) 36 + (6 * -3 + 2n * -3) = 7(3n + -4) 36 + (-18 + -6n) = 7(3n + -4) Combine like terms: 36 + -18 = 18 18 + -6n = 7(3n + -4) Reorder the terms: 18 + -6n = 7(-4 + 3n) 18 + -6n = (-4 * 7 + 3n * 7) 18 + -6n = (-28 + 21n) Solving 18 + -6n = -28 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 18 + -6n + -21n = -28 + 21n + -21n Combine like terms: -6n + -21n = -27n 18 + -27n = -28 + 21n + -21n Combine like terms: 21n + -21n = 0 18 + -27n = -28 + 0 18 + -27n = -28 Add '-18' to each side of the equation. 18 + -18 + -27n = -28 + -18 Combine like terms: 18 + -18 = 0 0 + -27n = -28 + -18 -27n = -28 + -18 Combine like terms: -28 + -18 = -46 -27n = -46 Divide each side by '-27'. n = 1.703703704 Simplifying n = 1.703703704
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