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Simplifying 4n + -2(n + -9) = 2 + 3n Reorder the terms: 4n + -2(-9 + n) = 2 + 3n 4n + (-9 * -2 + n * -2) = 2 + 3n 4n + (18 + -2n) = 2 + 3n Reorder the terms: 18 + 4n + -2n = 2 + 3n Combine like terms: 4n + -2n = 2n 18 + 2n = 2 + 3n Solving 18 + 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. 18 + 2n + -3n = 2 + 3n + -3n Combine like terms: 2n + -3n = -1n 18 + -1n = 2 + 3n + -3n Combine like terms: 3n + -3n = 0 18 + -1n = 2 + 0 18 + -1n = 2 Add '-18' to each side of the equation. 18 + -18 + -1n = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -1n = 2 + -18 -1n = 2 + -18 Combine like terms: 2 + -18 = -16 -1n = -16 Divide each side by '-1'. n = 16 Simplifying n = 16
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