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Simplifying 35n + 13 = 40n + 42 Reorder the terms: 13 + 35n = 40n + 42 Reorder the terms: 13 + 35n = 42 + 40n Solving 13 + 35n = 42 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 13 + 35n + -40n = 42 + 40n + -40n Combine like terms: 35n + -40n = -5n 13 + -5n = 42 + 40n + -40n Combine like terms: 40n + -40n = 0 13 + -5n = 42 + 0 13 + -5n = 42 Add '-13' to each side of the equation. 13 + -13 + -5n = 42 + -13 Combine like terms: 13 + -13 = 0 0 + -5n = 42 + -13 -5n = 42 + -13 Combine like terms: 42 + -13 = 29 -5n = 29 Divide each side by '-5'. n = -5.8 Simplifying n = -5.8
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