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Simplifying 3(3n + -5) = (7n + 4) + 1 Reorder the terms: 3(-5 + 3n) = (7n + 4) + 1 (-5 * 3 + 3n * 3) = (7n + 4) + 1 (-15 + 9n) = (7n + 4) + 1 Reorder the terms: -15 + 9n = (4 + 7n) + 1 Remove parenthesis around (4 + 7n) -15 + 9n = 4 + 7n + 1 Reorder the terms: -15 + 9n = 4 + 1 + 7n Combine like terms: 4 + 1 = 5 -15 + 9n = 5 + 7n Solving -15 + 9n = 5 + 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. -15 + 9n + -7n = 5 + 7n + -7n Combine like terms: 9n + -7n = 2n -15 + 2n = 5 + 7n + -7n Combine like terms: 7n + -7n = 0 -15 + 2n = 5 + 0 -15 + 2n = 5 Add '15' to each side of the equation. -15 + 15 + 2n = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 2n = 5 + 15 2n = 5 + 15 Combine like terms: 5 + 15 = 20 2n = 20 Divide each side by '2'. n = 10 Simplifying n = 10
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