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Simplifying -22 = -1(n + 4) + 5(n + -6) Reorder the terms: -22 = -1(4 + n) + 5(n + -6) -22 = (4 * -1 + n * -1) + 5(n + -6) -22 = (-4 + -1n) + 5(n + -6) Reorder the terms: -22 = -4 + -1n + 5(-6 + n) -22 = -4 + -1n + (-6 * 5 + n * 5) -22 = -4 + -1n + (-30 + 5n) Reorder the terms: -22 = -4 + -30 + -1n + 5n Combine like terms: -4 + -30 = -34 -22 = -34 + -1n + 5n Combine like terms: -1n + 5n = 4n -22 = -34 + 4n Solving -22 = -34 + 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 = -34 + 4n + -4n Combine like terms: 4n + -4n = 0 -22 + -4n = -34 + 0 -22 + -4n = -34 Add '22' to each side of the equation. -22 + 22 + -4n = -34 + 22 Combine like terms: -22 + 22 = 0 0 + -4n = -34 + 22 -4n = -34 + 22 Combine like terms: -34 + 22 = -12 -4n = -12 Divide each side by '-4'. n = 3 Simplifying n = 3
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