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Simplifying 35n + -12 = 40n + 42 Reorder the terms: -12 + 35n = 40n + 42 Reorder the terms: -12 + 35n = 42 + 40n Solving -12 + 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. -12 + 35n + -40n = 42 + 40n + -40n Combine like terms: 35n + -40n = -5n -12 + -5n = 42 + 40n + -40n Combine like terms: 40n + -40n = 0 -12 + -5n = 42 + 0 -12 + -5n = 42 Add '12' to each side of the equation. -12 + 12 + -5n = 42 + 12 Combine like terms: -12 + 12 = 0 0 + -5n = 42 + 12 -5n = 42 + 12 Combine like terms: 42 + 12 = 54 -5n = 54 Divide each side by '-5'. n = -10.8 Simplifying n = -10.8
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