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Simplifying 5n + 2 = 7n + -8 Reorder the terms: 2 + 5n = 7n + -8 Reorder the terms: 2 + 5n = -8 + 7n Solving 2 + 5n = -8 + 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. 2 + 5n + -7n = -8 + 7n + -7n Combine like terms: 5n + -7n = -2n 2 + -2n = -8 + 7n + -7n Combine like terms: 7n + -7n = 0 2 + -2n = -8 + 0 2 + -2n = -8 Add '-2' to each side of the equation. 2 + -2 + -2n = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -2n = -8 + -2 -2n = -8 + -2 Combine like terms: -8 + -2 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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