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Simplifying -6(n + 3) + 22 = -4n + -2 Reorder the terms: -6(3 + n) + 22 = -4n + -2 (3 * -6 + n * -6) + 22 = -4n + -2 (-18 + -6n) + 22 = -4n + -2 Reorder the terms: -18 + 22 + -6n = -4n + -2 Combine like terms: -18 + 22 = 4 4 + -6n = -4n + -2 Reorder the terms: 4 + -6n = -2 + -4n Solving 4 + -6n = -2 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 4 + -6n + 4n = -2 + -4n + 4n Combine like terms: -6n + 4n = -2n 4 + -2n = -2 + -4n + 4n Combine like terms: -4n + 4n = 0 4 + -2n = -2 + 0 4 + -2n = -2 Add '-4' to each side of the equation. 4 + -4 + -2n = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -2n = -2 + -4 -2n = -2 + -4 Combine like terms: -2 + -4 = -6 -2n = -6 Divide each side by '-2'. n = 3 Simplifying n = 3
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