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Simplifying 5(3n + -5) = (3n + 5) + 1 Reorder the terms: 5(-5 + 3n) = (3n + 5) + 1 (-5 * 5 + 3n * 5) = (3n + 5) + 1 (-25 + 15n) = (3n + 5) + 1 Reorder the terms: -25 + 15n = (5 + 3n) + 1 Remove parenthesis around (5 + 3n) -25 + 15n = 5 + 3n + 1 Reorder the terms: -25 + 15n = 5 + 1 + 3n Combine like terms: 5 + 1 = 6 -25 + 15n = 6 + 3n Solving -25 + 15n = 6 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -25 + 15n + -3n = 6 + 3n + -3n Combine like terms: 15n + -3n = 12n -25 + 12n = 6 + 3n + -3n Combine like terms: 3n + -3n = 0 -25 + 12n = 6 + 0 -25 + 12n = 6 Add '25' to each side of the equation. -25 + 25 + 12n = 6 + 25 Combine like terms: -25 + 25 = 0 0 + 12n = 6 + 25 12n = 6 + 25 Combine like terms: 6 + 25 = 31 12n = 31 Divide each side by '12'. n = 2.583333333 Simplifying n = 2.583333333
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