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Simplifying -38 + 7n = 9n + 32n Combine like terms: 9n + 32n = 41n -38 + 7n = 41n Solving -38 + 7n = 41n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-41n' to each side of the equation. -38 + 7n + -41n = 41n + -41n Combine like terms: 7n + -41n = -34n -38 + -34n = 41n + -41n Combine like terms: 41n + -41n = 0 -38 + -34n = 0 Add '38' to each side of the equation. -38 + 38 + -34n = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -34n = 0 + 38 -34n = 0 + 38 Combine like terms: 0 + 38 = 38 -34n = 38 Divide each side by '-34'. n = -1.117647059 Simplifying n = -1.117647059
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