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Simplifying 4n + -3(n + -9) = 4 + 2n Reorder the terms: 4n + -3(-9 + n) = 4 + 2n 4n + (-9 * -3 + n * -3) = 4 + 2n 4n + (27 + -3n) = 4 + 2n Reorder the terms: 27 + 4n + -3n = 4 + 2n Combine like terms: 4n + -3n = 1n 27 + 1n = 4 + 2n Solving 27 + 1n = 4 + 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. 27 + 1n + -2n = 4 + 2n + -2n Combine like terms: 1n + -2n = -1n 27 + -1n = 4 + 2n + -2n Combine like terms: 2n + -2n = 0 27 + -1n = 4 + 0 27 + -1n = 4 Add '-27' to each side of the equation. 27 + -27 + -1n = 4 + -27 Combine like terms: 27 + -27 = 0 0 + -1n = 4 + -27 -1n = 4 + -27 Combine like terms: 4 + -27 = -23 -1n = -23 Divide each side by '-1'. n = 23 Simplifying n = 23
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