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Simplifying 2n + 5 = 4(n + 2) + -9 Reorder the terms: 5 + 2n = 4(n + 2) + -9 Reorder the terms: 5 + 2n = 4(2 + n) + -9 5 + 2n = (2 * 4 + n * 4) + -9 5 + 2n = (8 + 4n) + -9 Reorder the terms: 5 + 2n = 8 + -9 + 4n Combine like terms: 8 + -9 = -1 5 + 2n = -1 + 4n Solving 5 + 2n = -1 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 5 + 2n + -4n = -1 + 4n + -4n Combine like terms: 2n + -4n = -2n 5 + -2n = -1 + 4n + -4n Combine like terms: 4n + -4n = 0 5 + -2n = -1 + 0 5 + -2n = -1 Add '-5' to each side of the equation. 5 + -5 + -2n = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = -1 + -5 -2n = -1 + -5 Combine like terms: -1 + -5 = -6 -2n = -6 Divide each side by '-2'. n = 3 Simplifying n = 3
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