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Simplifying 8 + -3(1 + 4n) = -29 + 5n 8 + (1 * -3 + 4n * -3) = -29 + 5n 8 + (-3 + -12n) = -29 + 5n Combine like terms: 8 + -3 = 5 5 + -12n = -29 + 5n Solving 5 + -12n = -29 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 5 + -12n + -5n = -29 + 5n + -5n Combine like terms: -12n + -5n = -17n 5 + -17n = -29 + 5n + -5n Combine like terms: 5n + -5n = 0 5 + -17n = -29 + 0 5 + -17n = -29 Add '-5' to each side of the equation. 5 + -5 + -17n = -29 + -5 Combine like terms: 5 + -5 = 0 0 + -17n = -29 + -5 -17n = -29 + -5 Combine like terms: -29 + -5 = -34 -17n = -34 Divide each side by '-17'. n = 2 Simplifying n = 2
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