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Simplifying 5n + 7 = 7(n + 2) + 14 Reorder the terms: 7 + 5n = 7(n + 2) + 14 Reorder the terms: 7 + 5n = 7(2 + n) + 14 7 + 5n = (2 * 7 + n * 7) + 14 7 + 5n = (14 + 7n) + 14 Reorder the terms: 7 + 5n = 14 + 14 + 7n Combine like terms: 14 + 14 = 28 7 + 5n = 28 + 7n Solving 7 + 5n = 28 + 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 = 28 + 7n + -7n Combine like terms: 5n + -7n = -2n 7 + -2n = 28 + 7n + -7n Combine like terms: 7n + -7n = 0 7 + -2n = 28 + 0 7 + -2n = 28 Add '-7' to each side of the equation. 7 + -7 + -2n = 28 + -7 Combine like terms: 7 + -7 = 0 0 + -2n = 28 + -7 -2n = 28 + -7 Combine like terms: 28 + -7 = 21 -2n = 21 Divide each side by '-2'. n = -10.5 Simplifying n = -10.5
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