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Simplifying -5(n + 4) + 22 = -3n + -4 Reorder the terms: -5(4 + n) + 22 = -3n + -4 (4 * -5 + n * -5) + 22 = -3n + -4 (-20 + -5n) + 22 = -3n + -4 Reorder the terms: -20 + 22 + -5n = -3n + -4 Combine like terms: -20 + 22 = 2 2 + -5n = -3n + -4 Reorder the terms: 2 + -5n = -4 + -3n Solving 2 + -5n = -4 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 2 + -5n + 3n = -4 + -3n + 3n Combine like terms: -5n + 3n = -2n 2 + -2n = -4 + -3n + 3n Combine like terms: -3n + 3n = 0 2 + -2n = -4 + 0 2 + -2n = -4 Add '-2' to each side of the equation. 2 + -2 + -2n = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -2n = -4 + -2 -2n = -4 + -2 Combine like terms: -4 + -2 = -6 -2n = -6 Divide each side by '-2'. n = 3 Simplifying n = 3
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