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Simplifying 38 + 2n = -8(n + -6) Reorder the terms: 38 + 2n = -8(-6 + n) 38 + 2n = (-6 * -8 + n * -8) 38 + 2n = (48 + -8n) Solving 38 + 2n = 48 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 38 + 2n + 8n = 48 + -8n + 8n Combine like terms: 2n + 8n = 10n 38 + 10n = 48 + -8n + 8n Combine like terms: -8n + 8n = 0 38 + 10n = 48 + 0 38 + 10n = 48 Add '-38' to each side of the equation. 38 + -38 + 10n = 48 + -38 Combine like terms: 38 + -38 = 0 0 + 10n = 48 + -38 10n = 48 + -38 Combine like terms: 48 + -38 = 10 10n = 10 Divide each side by '10'. n = 1 Simplifying n = 1
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