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Simplifying 10 + 5(n + -2) = 4n + 1 Reorder the terms: 10 + 5(-2 + n) = 4n + 1 10 + (-2 * 5 + n * 5) = 4n + 1 10 + (-10 + 5n) = 4n + 1 Combine like terms: 10 + -10 = 0 0 + 5n = 4n + 1 5n = 4n + 1 Reorder the terms: 5n = 1 + 4n Solving 5n = 1 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 5n + -4n = 1 + 4n + -4n Combine like terms: 5n + -4n = 1n 1n = 1 + 4n + -4n Combine like terms: 4n + -4n = 0 1n = 1 + 0 1n = 1 Divide each side by '1'. n = 1 Simplifying n = 1
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