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Simplifying 7(2n + -5) = (7n + 2) + 8 Reorder the terms: 7(-5 + 2n) = (7n + 2) + 8 (-5 * 7 + 2n * 7) = (7n + 2) + 8 (-35 + 14n) = (7n + 2) + 8 Reorder the terms: -35 + 14n = (2 + 7n) + 8 Remove parenthesis around (2 + 7n) -35 + 14n = 2 + 7n + 8 Reorder the terms: -35 + 14n = 2 + 8 + 7n Combine like terms: 2 + 8 = 10 -35 + 14n = 10 + 7n Solving -35 + 14n = 10 + 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. -35 + 14n + -7n = 10 + 7n + -7n Combine like terms: 14n + -7n = 7n -35 + 7n = 10 + 7n + -7n Combine like terms: 7n + -7n = 0 -35 + 7n = 10 + 0 -35 + 7n = 10 Add '35' to each side of the equation. -35 + 35 + 7n = 10 + 35 Combine like terms: -35 + 35 = 0 0 + 7n = 10 + 35 7n = 10 + 35 Combine like terms: 10 + 35 = 45 7n = 45 Divide each side by '7'. n = 6.428571429 Simplifying n = 6.428571429
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