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Simplifying 5(3n + -1) = (5n + 7) + 9 Reorder the terms: 5(-1 + 3n) = (5n + 7) + 9 (-1 * 5 + 3n * 5) = (5n + 7) + 9 (-5 + 15n) = (5n + 7) + 9 Reorder the terms: -5 + 15n = (7 + 5n) + 9 Remove parenthesis around (7 + 5n) -5 + 15n = 7 + 5n + 9 Reorder the terms: -5 + 15n = 7 + 9 + 5n Combine like terms: 7 + 9 = 16 -5 + 15n = 16 + 5n Solving -5 + 15n = 16 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -5 + 15n + -5n = 16 + 5n + -5n Combine like terms: 15n + -5n = 10n -5 + 10n = 16 + 5n + -5n Combine like terms: 5n + -5n = 0 -5 + 10n = 16 + 0 -5 + 10n = 16 Add '5' to each side of the equation. -5 + 5 + 10n = 16 + 5 Combine like terms: -5 + 5 = 0 0 + 10n = 16 + 5 10n = 16 + 5 Combine like terms: 16 + 5 = 21 10n = 21 Divide each side by '10'. n = 2.1 Simplifying n = 2.1
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