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Simplifying 12 + -1(n + -12) = 6(n + 3) Reorder the terms: 12 + -1(-12 + n) = 6(n + 3) 12 + (-12 * -1 + n * -1) = 6(n + 3) 12 + (12 + -1n) = 6(n + 3) Combine like terms: 12 + 12 = 24 24 + -1n = 6(n + 3) Reorder the terms: 24 + -1n = 6(3 + n) 24 + -1n = (3 * 6 + n * 6) 24 + -1n = (18 + 6n) Solving 24 + -1n = 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. 24 + -1n + -6n = 18 + 6n + -6n Combine like terms: -1n + -6n = -7n 24 + -7n = 18 + 6n + -6n Combine like terms: 6n + -6n = 0 24 + -7n = 18 + 0 24 + -7n = 18 Add '-24' to each side of the equation. 24 + -24 + -7n = 18 + -24 Combine like terms: 24 + -24 = 0 0 + -7n = 18 + -24 -7n = 18 + -24 Combine like terms: 18 + -24 = -6 -7n = -6 Divide each side by '-7'. n = 0.8571428571 Simplifying n = 0.8571428571
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