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Simplifying 2n + 8 = -5(4n + -6) Reorder the terms: 8 + 2n = -5(4n + -6) Reorder the terms: 8 + 2n = -5(-6 + 4n) 8 + 2n = (-6 * -5 + 4n * -5) 8 + 2n = (30 + -20n) Solving 8 + 2n = 30 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. 8 + 2n + 20n = 30 + -20n + 20n Combine like terms: 2n + 20n = 22n 8 + 22n = 30 + -20n + 20n Combine like terms: -20n + 20n = 0 8 + 22n = 30 + 0 8 + 22n = 30 Add '-8' to each side of the equation. 8 + -8 + 22n = 30 + -8 Combine like terms: 8 + -8 = 0 0 + 22n = 30 + -8 22n = 30 + -8 Combine like terms: 30 + -8 = 22 22n = 22 Divide each side by '22'. n = 1 Simplifying n = 1
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