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Simplifying 10(2 + -4n) + 3a = 353 (2 * 10 + -4n * 10) + 3a = 353 (20 + -40n) + 3a = 353 Reorder the terms: 20 + 3a + -40n = 353 Solving 20 + 3a + -40n = 353 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 3a + -20 + -40n = 353 + -20 Reorder the terms: 20 + -20 + 3a + -40n = 353 + -20 Combine like terms: 20 + -20 = 0 0 + 3a + -40n = 353 + -20 3a + -40n = 353 + -20 Combine like terms: 353 + -20 = 333 3a + -40n = 333 Add '40n' to each side of the equation. 3a + -40n + 40n = 333 + 40n Combine like terms: -40n + 40n = 0 3a + 0 = 333 + 40n 3a = 333 + 40n Divide each side by '3'. a = 111 + 13.33333333n Simplifying a = 111 + 13.33333333n
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