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Simplifying 38 + -8n = -6(3n + -3) Reorder the terms: 38 + -8n = -6(-3 + 3n) 38 + -8n = (-3 * -6 + 3n * -6) 38 + -8n = (18 + -18n) Solving 38 + -8n = 18 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. 38 + -8n + 18n = 18 + -18n + 18n Combine like terms: -8n + 18n = 10n 38 + 10n = 18 + -18n + 18n Combine like terms: -18n + 18n = 0 38 + 10n = 18 + 0 38 + 10n = 18 Add '-38' to each side of the equation. 38 + -38 + 10n = 18 + -38 Combine like terms: 38 + -38 = 0 0 + 10n = 18 + -38 10n = 18 + -38 Combine like terms: 18 + -38 = -20 10n = -20 Divide each side by '10'. n = -2 Simplifying n = -2
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