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Simplifying 2n + 40 = 7n + 5 Reorder the terms: 40 + 2n = 7n + 5 Reorder the terms: 40 + 2n = 5 + 7n Solving 40 + 2n = 5 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 40 + 2n + -7n = 5 + 7n + -7n Combine like terms: 2n + -7n = -5n 40 + -5n = 5 + 7n + -7n Combine like terms: 7n + -7n = 0 40 + -5n = 5 + 0 40 + -5n = 5 Add '-40' to each side of the equation. 40 + -40 + -5n = 5 + -40 Combine like terms: 40 + -40 = 0 0 + -5n = 5 + -40 -5n = 5 + -40 Combine like terms: 5 + -40 = -35 -5n = -35 Divide each side by '-5'. n = 7 Simplifying n = 7
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