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Simplifying 2n + 8 = 7n + 58 Reorder the terms: 8 + 2n = 7n + 58 Reorder the terms: 8 + 2n = 58 + 7n Solving 8 + 2n = 58 + 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. 8 + 2n + -7n = 58 + 7n + -7n Combine like terms: 2n + -7n = -5n 8 + -5n = 58 + 7n + -7n Combine like terms: 7n + -7n = 0 8 + -5n = 58 + 0 8 + -5n = 58 Add '-8' to each side of the equation. 8 + -8 + -5n = 58 + -8 Combine like terms: 8 + -8 = 0 0 + -5n = 58 + -8 -5n = 58 + -8 Combine like terms: 58 + -8 = 50 -5n = 50 Divide each side by '-5'. n = -10 Simplifying n = -10
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