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Simplifying -6(n + 5) = 2n + -38 Reorder the terms: -6(5 + n) = 2n + -38 (5 * -6 + n * -6) = 2n + -38 (-30 + -6n) = 2n + -38 Reorder the terms: -30 + -6n = -38 + 2n Solving -30 + -6n = -38 + 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. -30 + -6n + -2n = -38 + 2n + -2n Combine like terms: -6n + -2n = -8n -30 + -8n = -38 + 2n + -2n Combine like terms: 2n + -2n = 0 -30 + -8n = -38 + 0 -30 + -8n = -38 Add '30' to each side of the equation. -30 + 30 + -8n = -38 + 30 Combine like terms: -30 + 30 = 0 0 + -8n = -38 + 30 -8n = -38 + 30 Combine like terms: -38 + 30 = -8 -8n = -8 Divide each side by '-8'. n = 1 Simplifying n = 1
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