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Simplifying 5n + 7 = 7(n + 1) + -2 Reorder the terms: 7 + 5n = 7(n + 1) + -2 Reorder the terms: 7 + 5n = 7(1 + n) + -2 7 + 5n = (1 * 7 + n * 7) + -2 7 + 5n = (7 + 7n) + -2 Reorder the terms: 7 + 5n = 7 + -2 + 7n Combine like terms: 7 + -2 = 5 7 + 5n = 5 + 7n Solving 7 + 5n = 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. 7 + 5n + -7n = 5 + 7n + -7n Combine like terms: 5n + -7n = -2n 7 + -2n = 5 + 7n + -7n Combine like terms: 7n + -7n = 0 7 + -2n = 5 + 0 7 + -2n = 5 Add '-7' to each side of the equation. 7 + -7 + -2n = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -2n = 5 + -7 -2n = 5 + -7 Combine like terms: 5 + -7 = -2 -2n = -2 Divide each side by '-2'. n = 1 Simplifying n = 1
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