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Simplifying 5n + 7 = 7(n + 1) + 2n Reorder the terms: 7 + 5n = 7(n + 1) + 2n Reorder the terms: 7 + 5n = 7(1 + n) + 2n 7 + 5n = (1 * 7 + n * 7) + 2n 7 + 5n = (7 + 7n) + 2n Combine like terms: 7n + 2n = 9n 7 + 5n = 7 + 9n Add '-7' to each side of the equation. 7 + -7 + 5n = 7 + -7 + 9n Combine like terms: 7 + -7 = 0 0 + 5n = 7 + -7 + 9n 5n = 7 + -7 + 9n Combine like terms: 7 + -7 = 0 5n = 0 + 9n 5n = 9n Solving 5n = 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 5n + -9n = 9n + -9n Combine like terms: 5n + -9n = -4n -4n = 9n + -9n Combine like terms: 9n + -9n = 0 -4n = 0 Divide each side by '-4'. n = 0 Simplifying n = 0
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