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Simplifying 2(6n + -6) = 4(n + 1) Reorder the terms: 2(-6 + 6n) = 4(n + 1) (-6 * 2 + 6n * 2) = 4(n + 1) (-12 + 12n) = 4(n + 1) Reorder the terms: -12 + 12n = 4(1 + n) -12 + 12n = (1 * 4 + n * 4) -12 + 12n = (4 + 4n) Solving -12 + 12n = 4 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -12 + 12n + -4n = 4 + 4n + -4n Combine like terms: 12n + -4n = 8n -12 + 8n = 4 + 4n + -4n Combine like terms: 4n + -4n = 0 -12 + 8n = 4 + 0 -12 + 8n = 4 Add '12' to each side of the equation. -12 + 12 + 8n = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 8n = 4 + 12 8n = 4 + 12 Combine like terms: 4 + 12 = 16 8n = 16 Divide each side by '8'. n = 2 Simplifying n = 2
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