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Simplifying 5(2n + -1) = (7n + 8) + 3 Reorder the terms: 5(-1 + 2n) = (7n + 8) + 3 (-1 * 5 + 2n * 5) = (7n + 8) + 3 (-5 + 10n) = (7n + 8) + 3 Reorder the terms: -5 + 10n = (8 + 7n) + 3 Remove parenthesis around (8 + 7n) -5 + 10n = 8 + 7n + 3 Reorder the terms: -5 + 10n = 8 + 3 + 7n Combine like terms: 8 + 3 = 11 -5 + 10n = 11 + 7n Solving -5 + 10n = 11 + 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. -5 + 10n + -7n = 11 + 7n + -7n Combine like terms: 10n + -7n = 3n -5 + 3n = 11 + 7n + -7n Combine like terms: 7n + -7n = 0 -5 + 3n = 11 + 0 -5 + 3n = 11 Add '5' to each side of the equation. -5 + 5 + 3n = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 3n = 11 + 5 3n = 11 + 5 Combine like terms: 11 + 5 = 16 3n = 16 Divide each side by '3'. n = 5.333333333 Simplifying n = 5.333333333
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