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Simplifying 7n + -10 = 5n + 2 Reorder the terms: -10 + 7n = 5n + 2 Reorder the terms: -10 + 7n = 2 + 5n Solving -10 + 7n = 2 + 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. -10 + 7n + -5n = 2 + 5n + -5n Combine like terms: 7n + -5n = 2n -10 + 2n = 2 + 5n + -5n Combine like terms: 5n + -5n = 0 -10 + 2n = 2 + 0 -10 + 2n = 2 Add '10' to each side of the equation. -10 + 10 + 2n = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 2n = 2 + 10 2n = 2 + 10 Combine like terms: 2 + 10 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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