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