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Simplifying 7n + 40 = 2n + (8 * 8) + -4 Reorder the terms: 40 + 7n = 2n + (8 * 8) + -4 Multiply 8 * 8 40 + 7n = 2n + (64) + -4 40 + 7n = 2n + 64 + -4 Reorder the terms: 40 + 7n = 64 + -4 + 2n Combine like terms: 64 + -4 = 60 40 + 7n = 60 + 2n Solving 40 + 7n = 60 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 40 + 7n + -2n = 60 + 2n + -2n Combine like terms: 7n + -2n = 5n 40 + 5n = 60 + 2n + -2n Combine like terms: 2n + -2n = 0 40 + 5n = 60 + 0 40 + 5n = 60 Add '-40' to each side of the equation. 40 + -40 + 5n = 60 + -40 Combine like terms: 40 + -40 = 0 0 + 5n = 60 + -40 5n = 60 + -40 Combine like terms: 60 + -40 = 20 5n = 20 Divide each side by '5'. n = 4 Simplifying n = 4
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