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Simplifying 2n + 2 + -4 + -4 = 8n + 6 + 6n Reorder the terms: 2 + -4 + -4 + 2n = 8n + 6 + 6n Combine like terms: 2 + -4 = -2 -2 + -4 + 2n = 8n + 6 + 6n Combine like terms: -2 + -4 = -6 -6 + 2n = 8n + 6 + 6n Reorder the terms: -6 + 2n = 6 + 8n + 6n Combine like terms: 8n + 6n = 14n -6 + 2n = 6 + 14n Solving -6 + 2n = 6 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -6 + 2n + -14n = 6 + 14n + -14n Combine like terms: 2n + -14n = -12n -6 + -12n = 6 + 14n + -14n Combine like terms: 14n + -14n = 0 -6 + -12n = 6 + 0 -6 + -12n = 6 Add '6' to each side of the equation. -6 + 6 + -12n = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -12n = 6 + 6 -12n = 6 + 6 Combine like terms: 6 + 6 = 12 -12n = 12 Divide each side by '-12'. n = -1 Simplifying n = -1
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