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Simplifying -1n + 3(n + -6) = 8n + -3(n + -6) Reorder the terms: -1n + 3(-6 + n) = 8n + -3(n + -6) -1n + (-6 * 3 + n * 3) = 8n + -3(n + -6) -1n + (-18 + 3n) = 8n + -3(n + -6) Reorder the terms: -18 + -1n + 3n = 8n + -3(n + -6) Combine like terms: -1n + 3n = 2n -18 + 2n = 8n + -3(n + -6) Reorder the terms: -18 + 2n = 8n + -3(-6 + n) -18 + 2n = 8n + (-6 * -3 + n * -3) -18 + 2n = 8n + (18 + -3n) Reorder the terms: -18 + 2n = 18 + 8n + -3n Combine like terms: 8n + -3n = 5n -18 + 2n = 18 + 5n Solving -18 + 2n = 18 + 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 + 2n + -5n = 18 + 5n + -5n Combine like terms: 2n + -5n = -3n -18 + -3n = 18 + 5n + -5n Combine like terms: 5n + -5n = 0 -18 + -3n = 18 + 0 -18 + -3n = 18 Add '18' to each side of the equation. -18 + 18 + -3n = 18 + 18 Combine like terms: -18 + 18 = 0 0 + -3n = 18 + 18 -3n = 18 + 18 Combine like terms: 18 + 18 = 36 -3n = 36 Divide each side by '-3'. n = -12 Simplifying n = -12
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