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Simplifying -1(8 + 5n) + -6 = -8 + -6(n + 3) (8 * -1 + 5n * -1) + -6 = -8 + -6(n + 3) (-8 + -5n) + -6 = -8 + -6(n + 3) Reorder the terms: -8 + -6 + -5n = -8 + -6(n + 3) Combine like terms: -8 + -6 = -14 -14 + -5n = -8 + -6(n + 3) Reorder the terms: -14 + -5n = -8 + -6(3 + n) -14 + -5n = -8 + (3 * -6 + n * -6) -14 + -5n = -8 + (-18 + -6n) Combine like terms: -8 + -18 = -26 -14 + -5n = -26 + -6n Solving -14 + -5n = -26 + -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. -14 + -5n + 6n = -26 + -6n + 6n Combine like terms: -5n + 6n = 1n -14 + 1n = -26 + -6n + 6n Combine like terms: -6n + 6n = 0 -14 + 1n = -26 + 0 -14 + 1n = -26 Add '14' to each side of the equation. -14 + 14 + 1n = -26 + 14 Combine like terms: -14 + 14 = 0 0 + 1n = -26 + 14 1n = -26 + 14 Combine like terms: -26 + 14 = -12 1n = -12 Divide each side by '1'. n = -12 Simplifying n = -12
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