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Simplifying 6n + -5(6n + -5) = 3 + -2n Reorder the terms: 6n + -5(-5 + 6n) = 3 + -2n 6n + (-5 * -5 + 6n * -5) = 3 + -2n 6n + (25 + -30n) = 3 + -2n Reorder the terms: 25 + 6n + -30n = 3 + -2n Combine like terms: 6n + -30n = -24n 25 + -24n = 3 + -2n Solving 25 + -24n = 3 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 25 + -24n + 2n = 3 + -2n + 2n Combine like terms: -24n + 2n = -22n 25 + -22n = 3 + -2n + 2n Combine like terms: -2n + 2n = 0 25 + -22n = 3 + 0 25 + -22n = 3 Add '-25' to each side of the equation. 25 + -25 + -22n = 3 + -25 Combine like terms: 25 + -25 = 0 0 + -22n = 3 + -25 -22n = 3 + -25 Combine like terms: 3 + -25 = -22 -22n = -22 Divide each side by '-22'. n = 1 Simplifying n = 1
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