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Simplifying 5n + -3(n + -8) = 2 + 3n Reorder the terms: 5n + -3(-8 + n) = 2 + 3n 5n + (-8 * -3 + n * -3) = 2 + 3n 5n + (24 + -3n) = 2 + 3n Reorder the terms: 24 + 5n + -3n = 2 + 3n Combine like terms: 5n + -3n = 2n 24 + 2n = 2 + 3n Solving 24 + 2n = 2 + 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. 24 + 2n + -3n = 2 + 3n + -3n Combine like terms: 2n + -3n = -1n 24 + -1n = 2 + 3n + -3n Combine like terms: 3n + -3n = 0 24 + -1n = 2 + 0 24 + -1n = 2 Add '-24' to each side of the equation. 24 + -24 + -1n = 2 + -24 Combine like terms: 24 + -24 = 0 0 + -1n = 2 + -24 -1n = 2 + -24 Combine like terms: 2 + -24 = -22 -1n = -22 Divide each side by '-1'. n = 22 Simplifying n = 22
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