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Simplifying 35 + 12 = 40n + 42 Combine like terms: 35 + 12 = 47 47 = 40n + 42 Reorder the terms: 47 = 42 + 40n Solving 47 = 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. 47 + -40n = 42 + 40n + -40n Combine like terms: 40n + -40n = 0 47 + -40n = 42 + 0 47 + -40n = 42 Add '-47' to each side of the equation. 47 + -47 + -40n = 42 + -47 Combine like terms: 47 + -47 = 0 0 + -40n = 42 + -47 -40n = 42 + -47 Combine like terms: 42 + -47 = -5 -40n = -5 Divide each side by '-40'. n = 0.125 Simplifying n = 0.125
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