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Simplifying -7 + 7n = 5(n + 1) Reorder the terms: -7 + 7n = 5(1 + n) -7 + 7n = (1 * 5 + n * 5) -7 + 7n = (5 + 5n) Solving -7 + 7n = 5 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -7 + 7n + -5n = 5 + 5n + -5n Combine like terms: 7n + -5n = 2n -7 + 2n = 5 + 5n + -5n Combine like terms: 5n + -5n = 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 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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