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Simplifying -2(7n + -8) + -8n = 6(n + -6) Reorder the terms: -2(-8 + 7n) + -8n = 6(n + -6) (-8 * -2 + 7n * -2) + -8n = 6(n + -6) (16 + -14n) + -8n = 6(n + -6) Combine like terms: -14n + -8n = -22n 16 + -22n = 6(n + -6) Reorder the terms: 16 + -22n = 6(-6 + n) 16 + -22n = (-6 * 6 + n * 6) 16 + -22n = (-36 + 6n) Solving 16 + -22n = -36 + 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. 16 + -22n + -6n = -36 + 6n + -6n Combine like terms: -22n + -6n = -28n 16 + -28n = -36 + 6n + -6n Combine like terms: 6n + -6n = 0 16 + -28n = -36 + 0 16 + -28n = -36 Add '-16' to each side of the equation. 16 + -16 + -28n = -36 + -16 Combine like terms: 16 + -16 = 0 0 + -28n = -36 + -16 -28n = -36 + -16 Combine like terms: -36 + -16 = -52 -28n = -52 Divide each side by '-28'. n = 1.857142857 Simplifying n = 1.857142857
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