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Simplifying 4 + -1(6n + -8) = 20 + 2n Reorder the terms: 4 + -1(-8 + 6n) = 20 + 2n 4 + (-8 * -1 + 6n * -1) = 20 + 2n 4 + (8 + -6n) = 20 + 2n Combine like terms: 4 + 8 = 12 12 + -6n = 20 + 2n Solving 12 + -6n = 20 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 12 + -6n + -2n = 20 + 2n + -2n Combine like terms: -6n + -2n = -8n 12 + -8n = 20 + 2n + -2n Combine like terms: 2n + -2n = 0 12 + -8n = 20 + 0 12 + -8n = 20 Add '-12' to each side of the equation. 12 + -12 + -8n = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -8n = 20 + -12 -8n = 20 + -12 Combine like terms: 20 + -12 = 8 -8n = 8 Divide each side by '-8'. n = -1 Simplifying n = -1
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