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Simplifying 3(2a + 3) = 5(2a + 1) Reorder the terms: 3(3 + 2a) = 5(2a + 1) (3 * 3 + 2a * 3) = 5(2a + 1) (9 + 6a) = 5(2a + 1) Reorder the terms: 9 + 6a = 5(1 + 2a) 9 + 6a = (1 * 5 + 2a * 5) 9 + 6a = (5 + 10a) Solving 9 + 6a = 5 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 9 + 6a + -10a = 5 + 10a + -10a Combine like terms: 6a + -10a = -4a 9 + -4a = 5 + 10a + -10a Combine like terms: 10a + -10a = 0 9 + -4a = 5 + 0 9 + -4a = 5 Add '-9' to each side of the equation. 9 + -9 + -4a = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -4a = 5 + -9 -4a = 5 + -9 Combine like terms: 5 + -9 = -4 -4a = -4 Divide each side by '-4'. a = 1 Simplifying a = 1
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