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Simplifying 7 + -2n = 3n + -38 Reorder the terms: 7 + -2n = -38 + 3n Solving 7 + -2n = -38 + 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. 7 + -2n + -3n = -38 + 3n + -3n Combine like terms: -2n + -3n = -5n 7 + -5n = -38 + 3n + -3n Combine like terms: 3n + -3n = 0 7 + -5n = -38 + 0 7 + -5n = -38 Add '-7' to each side of the equation. 7 + -7 + -5n = -38 + -7 Combine like terms: 7 + -7 = 0 0 + -5n = -38 + -7 -5n = -38 + -7 Combine like terms: -38 + -7 = -45 -5n = -45 Divide each side by '-5'. n = 9 Simplifying n = 9
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