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Simplifying 34 + -8n = -6(3n + 1) Reorder the terms: 34 + -8n = -6(1 + 3n) 34 + -8n = (1 * -6 + 3n * -6) 34 + -8n = (-6 + -18n) Solving 34 + -8n = -6 + -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. 34 + -8n + 18n = -6 + -18n + 18n Combine like terms: -8n + 18n = 10n 34 + 10n = -6 + -18n + 18n Combine like terms: -18n + 18n = 0 34 + 10n = -6 + 0 34 + 10n = -6 Add '-34' to each side of the equation. 34 + -34 + 10n = -6 + -34 Combine like terms: 34 + -34 = 0 0 + 10n = -6 + -34 10n = -6 + -34 Combine like terms: -6 + -34 = -40 10n = -40 Divide each side by '10'. n = -4 Simplifying n = -4
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