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Simplifying 3n + -2(n + -8) = 3 + 2n Reorder the terms: 3n + -2(-8 + n) = 3 + 2n 3n + (-8 * -2 + n * -2) = 3 + 2n 3n + (16 + -2n) = 3 + 2n Reorder the terms: 16 + 3n + -2n = 3 + 2n Combine like terms: 3n + -2n = 1n 16 + 1n = 3 + 2n Solving 16 + 1n = 3 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 16 + 1n + -2n = 3 + 2n + -2n Combine like terms: 1n + -2n = -1n 16 + -1n = 3 + 2n + -2n Combine like terms: 2n + -2n = 0 16 + -1n = 3 + 0 16 + -1n = 3 Add '-16' to each side of the equation. 16 + -16 + -1n = 3 + -16 Combine like terms: 16 + -16 = 0 0 + -1n = 3 + -16 -1n = 3 + -16 Combine like terms: 3 + -16 = -13 -1n = -13 Divide each side by '-1'. n = 13 Simplifying n = 13
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