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Simplifying -8(n + -3) = -6n + 38 Reorder the terms: -8(-3 + n) = -6n + 38 (-3 * -8 + n * -8) = -6n + 38 (24 + -8n) = -6n + 38 Reorder the terms: 24 + -8n = 38 + -6n Solving 24 + -8n = 38 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 24 + -8n + 6n = 38 + -6n + 6n Combine like terms: -8n + 6n = -2n 24 + -2n = 38 + -6n + 6n Combine like terms: -6n + 6n = 0 24 + -2n = 38 + 0 24 + -2n = 38 Add '-24' to each side of the equation. 24 + -24 + -2n = 38 + -24 Combine like terms: 24 + -24 = 0 0 + -2n = 38 + -24 -2n = 38 + -24 Combine like terms: 38 + -24 = 14 -2n = 14 Divide each side by '-2'. n = -7 Simplifying n = -7
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