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Simplifying 2(2n + -5) = 3(n + 2) Reorder the terms: 2(-5 + 2n) = 3(n + 2) (-5 * 2 + 2n * 2) = 3(n + 2) (-10 + 4n) = 3(n + 2) Reorder the terms: -10 + 4n = 3(2 + n) -10 + 4n = (2 * 3 + n * 3) -10 + 4n = (6 + 3n) Solving -10 + 4n = 6 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -10 + 4n + -3n = 6 + 3n + -3n Combine like terms: 4n + -3n = 1n -10 + 1n = 6 + 3n + -3n Combine like terms: 3n + -3n = 0 -10 + 1n = 6 + 0 -10 + 1n = 6 Add '10' to each side of the equation. -10 + 10 + 1n = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 1n = 6 + 10 1n = 6 + 10 Combine like terms: 6 + 10 = 16 1n = 16 Divide each side by '1'. n = 16 Simplifying n = 16
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