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Simplifying 164 = -8(1 + -5n) + 3n 164 = (1 * -8 + -5n * -8) + 3n 164 = (-8 + 40n) + 3n Combine like terms: 40n + 3n = 43n 164 = -8 + 43n Solving 164 = -8 + 43n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-43n' to each side of the equation. 164 + -43n = -8 + 43n + -43n Combine like terms: 43n + -43n = 0 164 + -43n = -8 + 0 164 + -43n = -8 Add '-164' to each side of the equation. 164 + -164 + -43n = -8 + -164 Combine like terms: 164 + -164 = 0 0 + -43n = -8 + -164 -43n = -8 + -164 Combine like terms: -8 + -164 = -172 -43n = -172 Divide each side by '-43'. n = 4 Simplifying n = 4
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