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Simplifying 2(2n + -5) = (7n + 5) + 9 Reorder the terms: 2(-5 + 2n) = (7n + 5) + 9 (-5 * 2 + 2n * 2) = (7n + 5) + 9 (-10 + 4n) = (7n + 5) + 9 Reorder the terms: -10 + 4n = (5 + 7n) + 9 Remove parenthesis around (5 + 7n) -10 + 4n = 5 + 7n + 9 Reorder the terms: -10 + 4n = 5 + 9 + 7n Combine like terms: 5 + 9 = 14 -10 + 4n = 14 + 7n Solving -10 + 4n = 14 + 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. -10 + 4n + -7n = 14 + 7n + -7n Combine like terms: 4n + -7n = -3n -10 + -3n = 14 + 7n + -7n Combine like terms: 7n + -7n = 0 -10 + -3n = 14 + 0 -10 + -3n = 14 Add '10' to each side of the equation. -10 + 10 + -3n = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -3n = 14 + 10 -3n = 14 + 10 Combine like terms: 14 + 10 = 24 -3n = 24 Divide each side by '-3'. n = -8 Simplifying n = -8
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