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Simplifying 3n + 8 = 5(n + -5) + 6 Reorder the terms: 8 + 3n = 5(n + -5) + 6 Reorder the terms: 8 + 3n = 5(-5 + n) + 6 8 + 3n = (-5 * 5 + n * 5) + 6 8 + 3n = (-25 + 5n) + 6 Reorder the terms: 8 + 3n = -25 + 6 + 5n Combine like terms: -25 + 6 = -19 8 + 3n = -19 + 5n Solving 8 + 3n = -19 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 8 + 3n + -5n = -19 + 5n + -5n Combine like terms: 3n + -5n = -2n 8 + -2n = -19 + 5n + -5n Combine like terms: 5n + -5n = 0 8 + -2n = -19 + 0 8 + -2n = -19 Add '-8' to each side of the equation. 8 + -8 + -2n = -19 + -8 Combine like terms: 8 + -8 = 0 0 + -2n = -19 + -8 -2n = -19 + -8 Combine like terms: -19 + -8 = -27 -2n = -27 Divide each side by '-2'. n = 13.5 Simplifying n = 13.5
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