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Simplifying 3(n + 4) + -8 = 11 + -1(6 + -2n) * 52 Reorder the terms: 3(4 + n) + -8 = 11 + -1(6 + -2n) * 52 (4 * 3 + n * 3) + -8 = 11 + -1(6 + -2n) * 52 (12 + 3n) + -8 = 11 + -1(6 + -2n) * 52 Reorder the terms: 12 + -8 + 3n = 11 + -1(6 + -2n) * 52 Combine like terms: 12 + -8 = 4 4 + 3n = 11 + -1(6 + -2n) * 52 Reorder the terms for easier multiplication: 4 + 3n = 11 + -1 * 52(6 + -2n) Multiply -1 * 52 4 + 3n = 11 + -52(6 + -2n) 4 + 3n = 11 + (6 * -52 + -2n * -52) 4 + 3n = 11 + (-312 + 104n) Combine like terms: 11 + -312 = -301 4 + 3n = -301 + 104n Solving 4 + 3n = -301 + 104n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-104n' to each side of the equation. 4 + 3n + -104n = -301 + 104n + -104n Combine like terms: 3n + -104n = -101n 4 + -101n = -301 + 104n + -104n Combine like terms: 104n + -104n = 0 4 + -101n = -301 + 0 4 + -101n = -301 Add '-4' to each side of the equation. 4 + -4 + -101n = -301 + -4 Combine like terms: 4 + -4 = 0 0 + -101n = -301 + -4 -101n = -301 + -4 Combine like terms: -301 + -4 = -305 -101n = -305 Divide each side by '-101'. n = 3.01980198 Simplifying n = 3.01980198
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