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Simplifying -6n + 10 = -4(1 + 5n) Reorder the terms: 10 + -6n = -4(1 + 5n) 10 + -6n = (1 * -4 + 5n * -4) 10 + -6n = (-4 + -20n) Solving 10 + -6n = -4 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. 10 + -6n + 20n = -4 + -20n + 20n Combine like terms: -6n + 20n = 14n 10 + 14n = -4 + -20n + 20n Combine like terms: -20n + 20n = 0 10 + 14n = -4 + 0 10 + 14n = -4 Add '-10' to each side of the equation. 10 + -10 + 14n = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 14n = -4 + -10 14n = -4 + -10 Combine like terms: -4 + -10 = -14 14n = -14 Divide each side by '14'. n = -1 Simplifying n = -1
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