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Simplifying 3(5a + 3) = 6(2a + 1) Reorder the terms: 3(3 + 5a) = 6(2a + 1) (3 * 3 + 5a * 3) = 6(2a + 1) (9 + 15a) = 6(2a + 1) Reorder the terms: 9 + 15a = 6(1 + 2a) 9 + 15a = (1 * 6 + 2a * 6) 9 + 15a = (6 + 12a) Solving 9 + 15a = 6 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 9 + 15a + -12a = 6 + 12a + -12a Combine like terms: 15a + -12a = 3a 9 + 3a = 6 + 12a + -12a Combine like terms: 12a + -12a = 0 9 + 3a = 6 + 0 9 + 3a = 6 Add '-9' to each side of the equation. 9 + -9 + 3a = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 3a = 6 + -9 3a = 6 + -9 Combine like terms: 6 + -9 = -3 3a = -3 Divide each side by '3'. a = -1 Simplifying a = -1
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