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Simplifying 5(3n + -2) = (5n + 8) + 3 Reorder the terms: 5(-2 + 3n) = (5n + 8) + 3 (-2 * 5 + 3n * 5) = (5n + 8) + 3 (-10 + 15n) = (5n + 8) + 3 Reorder the terms: -10 + 15n = (8 + 5n) + 3 Remove parenthesis around (8 + 5n) -10 + 15n = 8 + 5n + 3 Reorder the terms: -10 + 15n = 8 + 3 + 5n Combine like terms: 8 + 3 = 11 -10 + 15n = 11 + 5n Solving -10 + 15n = 11 + 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. -10 + 15n + -5n = 11 + 5n + -5n Combine like terms: 15n + -5n = 10n -10 + 10n = 11 + 5n + -5n Combine like terms: 5n + -5n = 0 -10 + 10n = 11 + 0 -10 + 10n = 11 Add '10' to each side of the equation. -10 + 10 + 10n = 11 + 10 Combine like terms: -10 + 10 = 0 0 + 10n = 11 + 10 10n = 11 + 10 Combine like terms: 11 + 10 = 21 10n = 21 Divide each side by '10'. n = 2.1 Simplifying n = 2.1
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