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Simplifying 35 + 2n = -2n + -4(5 + -8n) 35 + 2n = -2n + (5 * -4 + -8n * -4) 35 + 2n = -2n + (-20 + 32n) Reorder the terms: 35 + 2n = -20 + -2n + 32n Combine like terms: -2n + 32n = 30n 35 + 2n = -20 + 30n Solving 35 + 2n = -20 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 35 + 2n + -30n = -20 + 30n + -30n Combine like terms: 2n + -30n = -28n 35 + -28n = -20 + 30n + -30n Combine like terms: 30n + -30n = 0 35 + -28n = -20 + 0 35 + -28n = -20 Add '-35' to each side of the equation. 35 + -35 + -28n = -20 + -35 Combine like terms: 35 + -35 = 0 0 + -28n = -20 + -35 -28n = -20 + -35 Combine like terms: -20 + -35 = -55 -28n = -55 Divide each side by '-28'. n = 1.964285714 Simplifying n = 1.964285714
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