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Simplifying 5(2n + -5) = (3n + 5) + 7 Reorder the terms: 5(-5 + 2n) = (3n + 5) + 7 (-5 * 5 + 2n * 5) = (3n + 5) + 7 (-25 + 10n) = (3n + 5) + 7 Reorder the terms: -25 + 10n = (5 + 3n) + 7 Remove parenthesis around (5 + 3n) -25 + 10n = 5 + 3n + 7 Reorder the terms: -25 + 10n = 5 + 7 + 3n Combine like terms: 5 + 7 = 12 -25 + 10n = 12 + 3n Solving -25 + 10n = 12 + 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 + 10n + -3n = 12 + 3n + -3n Combine like terms: 10n + -3n = 7n -25 + 7n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 -25 + 7n = 12 + 0 -25 + 7n = 12 Add '25' to each side of the equation. -25 + 25 + 7n = 12 + 25 Combine like terms: -25 + 25 = 0 0 + 7n = 12 + 25 7n = 12 + 25 Combine like terms: 12 + 25 = 37 7n = 37 Divide each side by '7'. n = 5.285714286 Simplifying n = 5.285714286
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