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Simplifying 6(n + 3) = 12 + -0.12n Reorder the terms: 6(3 + n) = 12 + -0.12n (3 * 6 + n * 6) = 12 + -0.12n (18 + 6n) = 12 + -0.12n Solving 18 + 6n = 12 + -0.12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.12n' to each side of the equation. 18 + 6n + 0.12n = 12 + -0.12n + 0.12n Combine like terms: 6n + 0.12n = 6.12n 18 + 6.12n = 12 + -0.12n + 0.12n Combine like terms: -0.12n + 0.12n = 0.00 18 + 6.12n = 12 + 0.00 18 + 6.12n = 12 Add '-18' to each side of the equation. 18 + -18 + 6.12n = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 6.12n = 12 + -18 6.12n = 12 + -18 Combine like terms: 12 + -18 = -6 6.12n = -6 Divide each side by '6.12'. n = -0.9803921569 Simplifying n = -0.9803921569
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