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Simplifying 2(2n + -5) = (7n + 9) + 4 Reorder the terms: 2(-5 + 2n) = (7n + 9) + 4 (-5 * 2 + 2n * 2) = (7n + 9) + 4 (-10 + 4n) = (7n + 9) + 4 Reorder the terms: -10 + 4n = (9 + 7n) + 4 Remove parenthesis around (9 + 7n) -10 + 4n = 9 + 7n + 4 Reorder the terms: -10 + 4n = 9 + 4 + 7n Combine like terms: 9 + 4 = 13 -10 + 4n = 13 + 7n Solving -10 + 4n = 13 + 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 = 13 + 7n + -7n Combine like terms: 4n + -7n = -3n -10 + -3n = 13 + 7n + -7n Combine like terms: 7n + -7n = 0 -10 + -3n = 13 + 0 -10 + -3n = 13 Add '10' to each side of the equation. -10 + 10 + -3n = 13 + 10 Combine like terms: -10 + 10 = 0 0 + -3n = 13 + 10 -3n = 13 + 10 Combine like terms: 13 + 10 = 23 -3n = 23 Divide each side by '-3'. n = -7.666666667 Simplifying n = -7.666666667
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