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Simplifying -3(n + -6) = 8 + -2n Reorder the terms: -3(-6 + n) = 8 + -2n (-6 * -3 + n * -3) = 8 + -2n (18 + -3n) = 8 + -2n Solving 18 + -3n = 8 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 18 + -3n + 2n = 8 + -2n + 2n Combine like terms: -3n + 2n = -1n 18 + -1n = 8 + -2n + 2n Combine like terms: -2n + 2n = 0 18 + -1n = 8 + 0 18 + -1n = 8 Add '-18' to each side of the equation. 18 + -18 + -1n = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -1n = 8 + -18 -1n = 8 + -18 Combine like terms: 8 + -18 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10
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