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Simplifying 4 + -6(-2 + 3n) = -34 + -8n 4 + (-2 * -6 + 3n * -6) = -34 + -8n 4 + (12 + -18n) = -34 + -8n Combine like terms: 4 + 12 = 16 16 + -18n = -34 + -8n Solving 16 + -18n = -34 + -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. 16 + -18n + 8n = -34 + -8n + 8n Combine like terms: -18n + 8n = -10n 16 + -10n = -34 + -8n + 8n Combine like terms: -8n + 8n = 0 16 + -10n = -34 + 0 16 + -10n = -34 Add '-16' to each side of the equation. 16 + -16 + -10n = -34 + -16 Combine like terms: 16 + -16 = 0 0 + -10n = -34 + -16 -10n = -34 + -16 Combine like terms: -34 + -16 = -50 -10n = -50 Divide each side by '-10'. n = 5 Simplifying n = 5
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