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Simplifying -8(2 + 7) = 6n + 34 Combine like terms: 2 + 7 = 9 -8(9) = 6n + 34 Multiply -8 * 9 -72 = 6n + 34 Reorder the terms: -72 = 34 + 6n Solving -72 = 34 + 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. -72 + -6n = 34 + 6n + -6n Combine like terms: 6n + -6n = 0 -72 + -6n = 34 + 0 -72 + -6n = 34 Add '72' to each side of the equation. -72 + 72 + -6n = 34 + 72 Combine like terms: -72 + 72 = 0 0 + -6n = 34 + 72 -6n = 34 + 72 Combine like terms: 34 + 72 = 106 -6n = 106 Divide each side by '-6'. n = -17.66666667 Simplifying n = -17.66666667
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