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Simplifying 5n + 35 = -8(1 + -6n) Reorder the terms: 35 + 5n = -8(1 + -6n) 35 + 5n = (1 * -8 + -6n * -8) 35 + 5n = (-8 + 48n) Solving 35 + 5n = -8 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 35 + 5n + -48n = -8 + 48n + -48n Combine like terms: 5n + -48n = -43n 35 + -43n = -8 + 48n + -48n Combine like terms: 48n + -48n = 0 35 + -43n = -8 + 0 35 + -43n = -8 Add '-35' to each side of the equation. 35 + -35 + -43n = -8 + -35 Combine like terms: 35 + -35 = 0 0 + -43n = -8 + -35 -43n = -8 + -35 Combine like terms: -8 + -35 = -43 -43n = -43 Divide each side by '-43'. n = 1 Simplifying n = 1
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