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Simplifying 6(3a + 2) = 5(2a + 9) Reorder the terms: 6(2 + 3a) = 5(2a + 9) (2 * 6 + 3a * 6) = 5(2a + 9) (12 + 18a) = 5(2a + 9) Reorder the terms: 12 + 18a = 5(9 + 2a) 12 + 18a = (9 * 5 + 2a * 5) 12 + 18a = (45 + 10a) Solving 12 + 18a = 45 + 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. 12 + 18a + -10a = 45 + 10a + -10a Combine like terms: 18a + -10a = 8a 12 + 8a = 45 + 10a + -10a Combine like terms: 10a + -10a = 0 12 + 8a = 45 + 0 12 + 8a = 45 Add '-12' to each side of the equation. 12 + -12 + 8a = 45 + -12 Combine like terms: 12 + -12 = 0 0 + 8a = 45 + -12 8a = 45 + -12 Combine like terms: 45 + -12 = 33 8a = 33 Divide each side by '8'. a = 4.125 Simplifying a = 4.125
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