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Simplifying 4(1 + 4n) = -35 + 3n (1 * 4 + 4n * 4) = -35 + 3n (4 + 16n) = -35 + 3n Solving 4 + 16n = -35 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 4 + 16n + -3n = -35 + 3n + -3n Combine like terms: 16n + -3n = 13n 4 + 13n = -35 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + 13n = -35 + 0 4 + 13n = -35 Add '-4' to each side of the equation. 4 + -4 + 13n = -35 + -4 Combine like terms: 4 + -4 = 0 0 + 13n = -35 + -4 13n = -35 + -4 Combine like terms: -35 + -4 = -39 13n = -39 Divide each side by '13'. n = -3 Simplifying n = -3
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