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Simplifying -4n + 38 = 2n + 20 Reorder the terms: 38 + -4n = 2n + 20 Reorder the terms: 38 + -4n = 20 + 2n Solving 38 + -4n = 20 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 38 + -4n + -2n = 20 + 2n + -2n Combine like terms: -4n + -2n = -6n 38 + -6n = 20 + 2n + -2n Combine like terms: 2n + -2n = 0 38 + -6n = 20 + 0 38 + -6n = 20 Add '-38' to each side of the equation. 38 + -38 + -6n = 20 + -38 Combine like terms: 38 + -38 = 0 0 + -6n = 20 + -38 -6n = 20 + -38 Combine like terms: 20 + -38 = -18 -6n = -18 Divide each side by '-6'. n = 3 Simplifying n = 3
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