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Simplifying -22 = -6 + 4(n + 5) Reorder the terms: -22 = -6 + 4(5 + n) -22 = -6 + (5 * 4 + n * 4) -22 = -6 + (20 + 4n) Combine like terms: -6 + 20 = 14 -22 = 14 + 4n Solving -22 = 14 + 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 + -4n = 14 + 4n + -4n Combine like terms: 4n + -4n = 0 -22 + -4n = 14 + 0 -22 + -4n = 14 Add '22' to each side of the equation. -22 + 22 + -4n = 14 + 22 Combine like terms: -22 + 22 = 0 0 + -4n = 14 + 22 -4n = 14 + 22 Combine like terms: 14 + 22 = 36 -4n = 36 Divide each side by '-4'. n = -9 Simplifying n = -9
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