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Simplifying 6(n + 5) = 2n + -8 Reorder the terms: 6(5 + n) = 2n + -8 (5 * 6 + n * 6) = 2n + -8 (30 + 6n) = 2n + -8 Reorder the terms: 30 + 6n = -8 + 2n Solving 30 + 6n = -8 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 30 + 6n + -2n = -8 + 2n + -2n Combine like terms: 6n + -2n = 4n 30 + 4n = -8 + 2n + -2n Combine like terms: 2n + -2n = 0 30 + 4n = -8 + 0 30 + 4n = -8 Add '-30' to each side of the equation. 30 + -30 + 4n = -8 + -30 Combine like terms: 30 + -30 = 0 0 + 4n = -8 + -30 4n = -8 + -30 Combine like terms: -8 + -30 = -38 4n = -38 Divide each side by '4'. n = -9.5 Simplifying n = -9.5
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