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Simplifying 8 + 4(1 + 3n) = -18 + 6n 8 + (1 * 4 + 3n * 4) = -18 + 6n 8 + (4 + 12n) = -18 + 6n Combine like terms: 8 + 4 = 12 12 + 12n = -18 + 6n Solving 12 + 12n = -18 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 12 + 12n + -6n = -18 + 6n + -6n Combine like terms: 12n + -6n = 6n 12 + 6n = -18 + 6n + -6n Combine like terms: 6n + -6n = 0 12 + 6n = -18 + 0 12 + 6n = -18 Add '-12' to each side of the equation. 12 + -12 + 6n = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 6n = -18 + -12 6n = -18 + -12 Combine like terms: -18 + -12 = -30 6n = -30 Divide each side by '6'. n = -5 Simplifying n = -5
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