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Simplifying 5(2 + 9n) = 51 + 4n (2 * 5 + 9n * 5) = 51 + 4n (10 + 45n) = 51 + 4n Solving 10 + 45n = 51 + 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. 10 + 45n + -4n = 51 + 4n + -4n Combine like terms: 45n + -4n = 41n 10 + 41n = 51 + 4n + -4n Combine like terms: 4n + -4n = 0 10 + 41n = 51 + 0 10 + 41n = 51 Add '-10' to each side of the equation. 10 + -10 + 41n = 51 + -10 Combine like terms: 10 + -10 = 0 0 + 41n = 51 + -10 41n = 51 + -10 Combine like terms: 51 + -10 = 41 41n = 41 Divide each side by '41'. n = 1 Simplifying n = 1
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