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Simplifying 10n + 2 = 7n + 1 Reorder the terms: 2 + 10n = 7n + 1 Reorder the terms: 2 + 10n = 1 + 7n Solving 2 + 10n = 1 + 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 + 10n + -7n = 1 + 7n + -7n Combine like terms: 10n + -7n = 3n 2 + 3n = 1 + 7n + -7n Combine like terms: 7n + -7n = 0 2 + 3n = 1 + 0 2 + 3n = 1 Add '-2' to each side of the equation. 2 + -2 + 3n = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 3n = 1 + -2 3n = 1 + -2 Combine like terms: 1 + -2 = -1 3n = -1 Divide each side by '3'. n = -0.3333333333 Simplifying n = -0.3333333333
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