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Simplifying 35 + 6n = -1(4n + -5) Reorder the terms: 35 + 6n = -1(-5 + 4n) 35 + 6n = (-5 * -1 + 4n * -1) 35 + 6n = (5 + -4n) Solving 35 + 6n = 5 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 35 + 6n + 4n = 5 + -4n + 4n Combine like terms: 6n + 4n = 10n 35 + 10n = 5 + -4n + 4n Combine like terms: -4n + 4n = 0 35 + 10n = 5 + 0 35 + 10n = 5 Add '-35' to each side of the equation. 35 + -35 + 10n = 5 + -35 Combine like terms: 35 + -35 = 0 0 + 10n = 5 + -35 10n = 5 + -35 Combine like terms: 5 + -35 = -30 10n = -30 Divide each side by '10'. n = -3 Simplifying n = -3
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