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Simplifying 460 = 5(9a + 2) Reorder the terms: 460 = 5(2 + 9a) 460 = (2 * 5 + 9a * 5) 460 = (10 + 45a) Solving 460 = 10 + 45a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45a' to each side of the equation. 460 + -45a = 10 + 45a + -45a Combine like terms: 45a + -45a = 0 460 + -45a = 10 + 0 460 + -45a = 10 Add '-460' to each side of the equation. 460 + -460 + -45a = 10 + -460 Combine like terms: 460 + -460 = 0 0 + -45a = 10 + -460 -45a = 10 + -460 Combine like terms: 10 + -460 = -450 -45a = -450 Divide each side by '-45'. a = 10 Simplifying a = 10
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