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Simplifying 3n + -22 = (-5n + 7) + -3 Reorder the terms: -22 + 3n = (-5n + 7) + -3 Reorder the terms: -22 + 3n = (7 + -5n) + -3 Remove parenthesis around (7 + -5n) -22 + 3n = 7 + -5n + -3 Reorder the terms: -22 + 3n = 7 + -3 + -5n Combine like terms: 7 + -3 = 4 -22 + 3n = 4 + -5n Solving -22 + 3n = 4 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -22 + 3n + 5n = 4 + -5n + 5n Combine like terms: 3n + 5n = 8n -22 + 8n = 4 + -5n + 5n Combine like terms: -5n + 5n = 0 -22 + 8n = 4 + 0 -22 + 8n = 4 Add '22' to each side of the equation. -22 + 22 + 8n = 4 + 22 Combine like terms: -22 + 22 = 0 0 + 8n = 4 + 22 8n = 4 + 22 Combine like terms: 4 + 22 = 26 8n = 26 Divide each side by '8'. n = 3.25 Simplifying n = 3.25
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