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Simplifying 3(2a + 5) = 2(a + 9) Reorder the terms: 3(5 + 2a) = 2(a + 9) (5 * 3 + 2a * 3) = 2(a + 9) (15 + 6a) = 2(a + 9) Reorder the terms: 15 + 6a = 2(9 + a) 15 + 6a = (9 * 2 + a * 2) 15 + 6a = (18 + 2a) Solving 15 + 6a = 18 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 15 + 6a + -2a = 18 + 2a + -2a Combine like terms: 6a + -2a = 4a 15 + 4a = 18 + 2a + -2a Combine like terms: 2a + -2a = 0 15 + 4a = 18 + 0 15 + 4a = 18 Add '-15' to each side of the equation. 15 + -15 + 4a = 18 + -15 Combine like terms: 15 + -15 = 0 0 + 4a = 18 + -15 4a = 18 + -15 Combine like terms: 18 + -15 = 3 4a = 3 Divide each side by '4'. a = 0.75 Simplifying a = 0.75
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