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Simplifying 6n + 20 = 2(7n + -6) Reorder the terms: 20 + 6n = 2(7n + -6) Reorder the terms: 20 + 6n = 2(-6 + 7n) 20 + 6n = (-6 * 2 + 7n * 2) 20 + 6n = (-12 + 14n) Solving 20 + 6n = -12 + 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. 20 + 6n + -14n = -12 + 14n + -14n Combine like terms: 6n + -14n = -8n 20 + -8n = -12 + 14n + -14n Combine like terms: 14n + -14n = 0 20 + -8n = -12 + 0 20 + -8n = -12 Add '-20' to each side of the equation. 20 + -20 + -8n = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -8n = -12 + -20 -8n = -12 + -20 Combine like terms: -12 + -20 = -32 -8n = -32 Divide each side by '-8'. n = 4 Simplifying n = 4
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