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Simplifying 7n + -30 + 10 = 2n + 20 Reorder the terms: -30 + 10 + 7n = 2n + 20 Combine like terms: -30 + 10 = -20 -20 + 7n = 2n + 20 Reorder the terms: -20 + 7n = 20 + 2n Solving -20 + 7n = 20 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -20 + 7n + -2n = 20 + 2n + -2n Combine like terms: 7n + -2n = 5n -20 + 5n = 20 + 2n + -2n Combine like terms: 2n + -2n = 0 -20 + 5n = 20 + 0 -20 + 5n = 20 Add '20' to each side of the equation. -20 + 20 + 5n = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 5n = 20 + 20 5n = 20 + 20 Combine like terms: 20 + 20 = 40 5n = 40 Divide each side by '5'. n = 8 Simplifying n = 8
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