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Simplifying 5n + 21 = 6(-4n + -1) + 2n Reorder the terms: 21 + 5n = 6(-4n + -1) + 2n Reorder the terms: 21 + 5n = 6(-1 + -4n) + 2n 21 + 5n = (-1 * 6 + -4n * 6) + 2n 21 + 5n = (-6 + -24n) + 2n Combine like terms: -24n + 2n = -22n 21 + 5n = -6 + -22n Solving 21 + 5n = -6 + -22n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '22n' to each side of the equation. 21 + 5n + 22n = -6 + -22n + 22n Combine like terms: 5n + 22n = 27n 21 + 27n = -6 + -22n + 22n Combine like terms: -22n + 22n = 0 21 + 27n = -6 + 0 21 + 27n = -6 Add '-21' to each side of the equation. 21 + -21 + 27n = -6 + -21 Combine like terms: 21 + -21 = 0 0 + 27n = -6 + -21 27n = -6 + -21 Combine like terms: -6 + -21 = -27 27n = -27 Divide each side by '27'. n = -1 Simplifying n = -1
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