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Simplifying -0.5(8 + 6n) + -5 = 6n + 9 (8 * -0.5 + 6n * -0.5) + -5 = 6n + 9 (-4 + -3n) + -5 = 6n + 9 Reorder the terms: -4 + -5 + -3n = 6n + 9 Combine like terms: -4 + -5 = -9 -9 + -3n = 6n + 9 Reorder the terms: -9 + -3n = 9 + 6n Solving -9 + -3n = 9 + 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. -9 + -3n + -6n = 9 + 6n + -6n Combine like terms: -3n + -6n = -9n -9 + -9n = 9 + 6n + -6n Combine like terms: 6n + -6n = 0 -9 + -9n = 9 + 0 -9 + -9n = 9 Add '9' to each side of the equation. -9 + 9 + -9n = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -9n = 9 + 9 -9n = 9 + 9 Combine like terms: 9 + 9 = 18 -9n = 18 Divide each side by '-9'. n = -2 Simplifying n = -2
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