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Simplifying 34 + -8n = -2(1 + -5n) 34 + -8n = (1 * -2 + -5n * -2) 34 + -8n = (-2 + 10n) Solving 34 + -8n = -2 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 34 + -8n + -10n = -2 + 10n + -10n Combine like terms: -8n + -10n = -18n 34 + -18n = -2 + 10n + -10n Combine like terms: 10n + -10n = 0 34 + -18n = -2 + 0 34 + -18n = -2 Add '-34' to each side of the equation. 34 + -34 + -18n = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -18n = -2 + -34 -18n = -2 + -34 Combine like terms: -2 + -34 = -36 -18n = -36 Divide each side by '-18'. n = 2 Simplifying n = 2
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