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Simplifying 6(1 + -4n) = -10 + -8n (1 * 6 + -4n * 6) = -10 + -8n (6 + -24n) = -10 + -8n Solving 6 + -24n = -10 + -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. 6 + -24n + 8n = -10 + -8n + 8n Combine like terms: -24n + 8n = -16n 6 + -16n = -10 + -8n + 8n Combine like terms: -8n + 8n = 0 6 + -16n = -10 + 0 6 + -16n = -10 Add '-6' to each side of the equation. 6 + -6 + -16n = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -16n = -10 + -6 -16n = -10 + -6 Combine like terms: -10 + -6 = -16 -16n = -16 Divide each side by '-16'. n = 1 Simplifying n = 1
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