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Simplifying -6n + -20 = -2n + 4(1 + n) Reorder the terms: -20 + -6n = -2n + 4(1 + n) -20 + -6n = -2n + (1 * 4 + n * 4) -20 + -6n = -2n + (4 + 4n) Reorder the terms: -20 + -6n = 4 + -2n + 4n Combine like terms: -2n + 4n = 2n -20 + -6n = 4 + 2n Solving -20 + -6n = 4 + 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. -20 + -6n + -2n = 4 + 2n + -2n Combine like terms: -6n + -2n = -8n -20 + -8n = 4 + 2n + -2n Combine like terms: 2n + -2n = 0 -20 + -8n = 4 + 0 -20 + -8n = 4 Add '20' to each side of the equation. -20 + 20 + -8n = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -8n = 4 + 20 -8n = 4 + 20 Combine like terms: 4 + 20 = 24 -8n = 24 Divide each side by '-8'. n = -3 Simplifying n = -3
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