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Simplifying -7(n + -2) + 2n(15 + -8) = 6(2n + 4) Reorder the terms: -7(-2 + n) + 2n(15 + -8) = 6(2n + 4) (-2 * -7 + n * -7) + 2n(15 + -8) = 6(2n + 4) (14 + -7n) + 2n(15 + -8) = 6(2n + 4) Combine like terms: 15 + -8 = 7 14 + -7n + 2n(7) = 6(2n + 4) Reorder the terms for easier multiplication: 14 + -7n + 2 * 7n = 6(2n + 4) Multiply 2 * 7 14 + -7n + 14n = 6(2n + 4) Combine like terms: -7n + 14n = 7n 14 + 7n = 6(2n + 4) Reorder the terms: 14 + 7n = 6(4 + 2n) 14 + 7n = (4 * 6 + 2n * 6) 14 + 7n = (24 + 12n) Solving 14 + 7n = 24 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 14 + 7n + -12n = 24 + 12n + -12n Combine like terms: 7n + -12n = -5n 14 + -5n = 24 + 12n + -12n Combine like terms: 12n + -12n = 0 14 + -5n = 24 + 0 14 + -5n = 24 Add '-14' to each side of the equation. 14 + -14 + -5n = 24 + -14 Combine like terms: 14 + -14 = 0 0 + -5n = 24 + -14 -5n = 24 + -14 Combine like terms: 24 + -14 = 10 -5n = 10 Divide each side by '-5'. n = -2 Simplifying n = -2
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