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Simplifying -2(n + 4) = 6n + 10 + n Reorder the terms: -2(4 + n) = 6n + 10 + n (4 * -2 + n * -2) = 6n + 10 + n (-8 + -2n) = 6n + 10 + n Reorder the terms: -8 + -2n = 10 + 6n + n Combine like terms: 6n + n = 7n -8 + -2n = 10 + 7n Solving -8 + -2n = 10 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -8 + -2n + -7n = 10 + 7n + -7n Combine like terms: -2n + -7n = -9n -8 + -9n = 10 + 7n + -7n Combine like terms: 7n + -7n = 0 -8 + -9n = 10 + 0 -8 + -9n = 10 Add '8' to each side of the equation. -8 + 8 + -9n = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -9n = 10 + 8 -9n = 10 + 8 Combine like terms: 10 + 8 = 18 -9n = 18 Divide each side by '-9'. n = -2 Simplifying n = -2
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