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Simplifying 4(n + 12) = 2n + 18 Reorder the terms: 4(12 + n) = 2n + 18 (12 * 4 + n * 4) = 2n + 18 (48 + 4n) = 2n + 18 Reorder the terms: 48 + 4n = 18 + 2n Solving 48 + 4n = 18 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 48 + 4n + -2n = 18 + 2n + -2n Combine like terms: 4n + -2n = 2n 48 + 2n = 18 + 2n + -2n Combine like terms: 2n + -2n = 0 48 + 2n = 18 + 0 48 + 2n = 18 Add '-48' to each side of the equation. 48 + -48 + 2n = 18 + -48 Combine like terms: 48 + -48 = 0 0 + 2n = 18 + -48 2n = 18 + -48 Combine like terms: 18 + -48 = -30 2n = -30 Divide each side by '2'. n = -15 Simplifying n = -15
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