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Simplifying 3n + -9 = -2(n + 6) + 8n Reorder the terms: -9 + 3n = -2(n + 6) + 8n Reorder the terms: -9 + 3n = -2(6 + n) + 8n -9 + 3n = (6 * -2 + n * -2) + 8n -9 + 3n = (-12 + -2n) + 8n Combine like terms: -2n + 8n = 6n -9 + 3n = -12 + 6n Solving -9 + 3n = -12 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -9 + 3n + -6n = -12 + 6n + -6n Combine like terms: 3n + -6n = -3n -9 + -3n = -12 + 6n + -6n Combine like terms: 6n + -6n = 0 -9 + -3n = -12 + 0 -9 + -3n = -12 Add '9' to each side of the equation. -9 + 9 + -3n = -12 + 9 Combine like terms: -9 + 9 = 0 0 + -3n = -12 + 9 -3n = -12 + 9 Combine like terms: -12 + 9 = -3 -3n = -3 Divide each side by '-3'. n = 1 Simplifying n = 1
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