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Simplifying -22 + -1n = -6 + -4(n + -2) Reorder the terms: -22 + -1n = -6 + -4(-2 + n) -22 + -1n = -6 + (-2 * -4 + n * -4) -22 + -1n = -6 + (8 + -4n) Combine like terms: -6 + 8 = 2 -22 + -1n = 2 + -4n Solving -22 + -1n = 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. -22 + -1n + 4n = 2 + -4n + 4n Combine like terms: -1n + 4n = 3n -22 + 3n = 2 + -4n + 4n Combine like terms: -4n + 4n = 0 -22 + 3n = 2 + 0 -22 + 3n = 2 Add '22' to each side of the equation. -22 + 22 + 3n = 2 + 22 Combine like terms: -22 + 22 = 0 0 + 3n = 2 + 22 3n = 2 + 22 Combine like terms: 2 + 22 = 24 3n = 24 Divide each side by '3'. n = 8 Simplifying n = 8
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