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Simplifying -4n + 44 = 3n + 2 Reorder the terms: 44 + -4n = 3n + 2 Reorder the terms: 44 + -4n = 2 + 3n Solving 44 + -4n = 2 + 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. 44 + -4n + -3n = 2 + 3n + -3n Combine like terms: -4n + -3n = -7n 44 + -7n = 2 + 3n + -3n Combine like terms: 3n + -3n = 0 44 + -7n = 2 + 0 44 + -7n = 2 Add '-44' to each side of the equation. 44 + -44 + -7n = 2 + -44 Combine like terms: 44 + -44 = 0 0 + -7n = 2 + -44 -7n = 2 + -44 Combine like terms: 2 + -44 = -42 -7n = -42 Divide each side by '-7'. n = 6 Simplifying n = 6
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