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Simplifying 3(n + 6) = -4n + 8(2n + 12 + 5) Reorder the terms: 3(6 + n) = -4n + 8(2n + 12 + 5) (6 * 3 + n * 3) = -4n + 8(2n + 12 + 5) (18 + 3n) = -4n + 8(2n + 12 + 5) Reorder the terms: 18 + 3n = -4n + 8(12 + 5 + 2n) Combine like terms: 12 + 5 = 17 18 + 3n = -4n + 8(17 + 2n) 18 + 3n = -4n + (17 * 8 + 2n * 8) 18 + 3n = -4n + (136 + 16n) Reorder the terms: 18 + 3n = 136 + -4n + 16n Combine like terms: -4n + 16n = 12n 18 + 3n = 136 + 12n Solving 18 + 3n = 136 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 18 + 3n + -12n = 136 + 12n + -12n Combine like terms: 3n + -12n = -9n 18 + -9n = 136 + 12n + -12n Combine like terms: 12n + -12n = 0 18 + -9n = 136 + 0 18 + -9n = 136 Add '-18' to each side of the equation. 18 + -18 + -9n = 136 + -18 Combine like terms: 18 + -18 = 0 0 + -9n = 136 + -18 -9n = 136 + -18 Combine like terms: 136 + -18 = 118 -9n = 118 Divide each side by '-9'. n = -13.11111111 Simplifying n = -13.11111111
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