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