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Simplifying -4(1 + 5n) + 3(2n + 1) = 0 (1 * -4 + 5n * -4) + 3(2n + 1) = 0 (-4 + -20n) + 3(2n + 1) = 0 Reorder the terms: -4 + -20n + 3(1 + 2n) = 0 -4 + -20n + (1 * 3 + 2n * 3) = 0 -4 + -20n + (3 + 6n) = 0 Reorder the terms: -4 + 3 + -20n + 6n = 0 Combine like terms: -4 + 3 = -1 -1 + -20n + 6n = 0 Combine like terms: -20n + 6n = -14n -1 + -14n = 0 Solving -1 + -14n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -14n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -14n = 0 + 1 -14n = 0 + 1 Combine like terms: 0 + 1 = 1 -14n = 1 Divide each side by '-14'. n = -0.07142857143 Simplifying n = -0.07142857143
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