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Simplifying 3(n + -6) = 5n + -2 Reorder the terms: 3(-6 + n) = 5n + -2 (-6 * 3 + n * 3) = 5n + -2 (-18 + 3n) = 5n + -2 Reorder the terms: -18 + 3n = -2 + 5n Solving -18 + 3n = -2 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -18 + 3n + -5n = -2 + 5n + -5n Combine like terms: 3n + -5n = -2n -18 + -2n = -2 + 5n + -5n Combine like terms: 5n + -5n = 0 -18 + -2n = -2 + 0 -18 + -2n = -2 Add '18' to each side of the equation. -18 + 18 + -2n = -2 + 18 Combine like terms: -18 + 18 = 0 0 + -2n = -2 + 18 -2n = -2 + 18 Combine like terms: -2 + 18 = 16 -2n = 16 Divide each side by '-2'. n = -8 Simplifying n = -8
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