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Simplifying 3 + -4(6 + -5n) = (7n + 6) 3 + (6 * -4 + -5n * -4) = (7n + 6) 3 + (-24 + 20n) = (7n + 6) Combine like terms: 3 + -24 = -21 -21 + 20n = (7n + 6) Reorder the terms: -21 + 20n = (6 + 7n) Remove parenthesis around (6 + 7n) -21 + 20n = 6 + 7n Solving -21 + 20n = 6 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -21 + 20n + -7n = 6 + 7n + -7n Combine like terms: 20n + -7n = 13n -21 + 13n = 6 + 7n + -7n Combine like terms: 7n + -7n = 0 -21 + 13n = 6 + 0 -21 + 13n = 6 Add '21' to each side of the equation. -21 + 21 + 13n = 6 + 21 Combine like terms: -21 + 21 = 0 0 + 13n = 6 + 21 13n = 6 + 21 Combine like terms: 6 + 21 = 27 13n = 27 Divide each side by '13'. n = 2.076923077 Simplifying n = 2.076923077
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