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Simplifying (2n + 5) = 3(3n + -10) Reorder the terms: (5 + 2n) = 3(3n + -10) Remove parenthesis around (5 + 2n) 5 + 2n = 3(3n + -10) Reorder the terms: 5 + 2n = 3(-10 + 3n) 5 + 2n = (-10 * 3 + 3n * 3) 5 + 2n = (-30 + 9n) Solving 5 + 2n = -30 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 5 + 2n + -9n = -30 + 9n + -9n Combine like terms: 2n + -9n = -7n 5 + -7n = -30 + 9n + -9n Combine like terms: 9n + -9n = 0 5 + -7n = -30 + 0 5 + -7n = -30 Add '-5' to each side of the equation. 5 + -5 + -7n = -30 + -5 Combine like terms: 5 + -5 = 0 0 + -7n = -30 + -5 -7n = -30 + -5 Combine like terms: -30 + -5 = -35 -7n = -35 Divide each side by '-7'. n = 5 Simplifying n = 5
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