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Simplifying 4(n + 1) = 6n + -12 Reorder the terms: 4(1 + n) = 6n + -12 (1 * 4 + n * 4) = 6n + -12 (4 + 4n) = 6n + -12 Reorder the terms: 4 + 4n = -12 + 6n Solving 4 + 4n = -12 + 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. 4 + 4n + -6n = -12 + 6n + -6n Combine like terms: 4n + -6n = -2n 4 + -2n = -12 + 6n + -6n Combine like terms: 6n + -6n = 0 4 + -2n = -12 + 0 4 + -2n = -12 Add '-4' to each side of the equation. 4 + -4 + -2n = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -2n = -12 + -4 -2n = -12 + -4 Combine like terms: -12 + -4 = -16 -2n = -16 Divide each side by '-2'. n = 8 Simplifying n = 8
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