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Simplifying 8(1 + 2n) + -2n = -3(-6 + -8n) (1 * 8 + 2n * 8) + -2n = -3(-6 + -8n) (8 + 16n) + -2n = -3(-6 + -8n) Combine like terms: 16n + -2n = 14n 8 + 14n = -3(-6 + -8n) 8 + 14n = (-6 * -3 + -8n * -3) 8 + 14n = (18 + 24n) Solving 8 + 14n = 18 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 8 + 14n + -24n = 18 + 24n + -24n Combine like terms: 14n + -24n = -10n 8 + -10n = 18 + 24n + -24n Combine like terms: 24n + -24n = 0 8 + -10n = 18 + 0 8 + -10n = 18 Add '-8' to each side of the equation. 8 + -8 + -10n = 18 + -8 Combine like terms: 8 + -8 = 0 0 + -10n = 18 + -8 -10n = 18 + -8 Combine like terms: 18 + -8 = 10 -10n = 10 Divide each side by '-10'. n = -1 Simplifying n = -1
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