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Simplifying 8(n + -3) + -2(n + -2) = 20 Reorder the terms: 8(-3 + n) + -2(n + -2) = 20 (-3 * 8 + n * 8) + -2(n + -2) = 20 (-24 + 8n) + -2(n + -2) = 20 Reorder the terms: -24 + 8n + -2(-2 + n) = 20 -24 + 8n + (-2 * -2 + n * -2) = 20 -24 + 8n + (4 + -2n) = 20 Reorder the terms: -24 + 4 + 8n + -2n = 20 Combine like terms: -24 + 4 = -20 -20 + 8n + -2n = 20 Combine like terms: 8n + -2n = 6n -20 + 6n = 20 Solving -20 + 6n = 20 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 6n = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 6n = 20 + 20 6n = 20 + 20 Combine like terms: 20 + 20 = 40 6n = 40 Divide each side by '6'. n = 6.666666667 Simplifying n = 6.666666667
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