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Simplifying 23 = -4(n + -3) + 3(1 + 2n) Reorder the terms: 23 = -4(-3 + n) + 3(1 + 2n) 23 = (-3 * -4 + n * -4) + 3(1 + 2n) 23 = (12 + -4n) + 3(1 + 2n) 23 = 12 + -4n + (1 * 3 + 2n * 3) 23 = 12 + -4n + (3 + 6n) Reorder the terms: 23 = 12 + 3 + -4n + 6n Combine like terms: 12 + 3 = 15 23 = 15 + -4n + 6n Combine like terms: -4n + 6n = 2n 23 = 15 + 2n Solving 23 = 15 + 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. 23 + -2n = 15 + 2n + -2n Combine like terms: 2n + -2n = 0 23 + -2n = 15 + 0 23 + -2n = 15 Add '-23' to each side of the equation. 23 + -23 + -2n = 15 + -23 Combine like terms: 23 + -23 = 0 0 + -2n = 15 + -23 -2n = 15 + -23 Combine like terms: 15 + -23 = -8 -2n = -8 Divide each side by '-2'. n = 4 Simplifying n = 4
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