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Simplifying 6(2a + 3) = 5(a + 5) Reorder the terms: 6(3 + 2a) = 5(a + 5) (3 * 6 + 2a * 6) = 5(a + 5) (18 + 12a) = 5(a + 5) Reorder the terms: 18 + 12a = 5(5 + a) 18 + 12a = (5 * 5 + a * 5) 18 + 12a = (25 + 5a) Solving 18 + 12a = 25 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 18 + 12a + -5a = 25 + 5a + -5a Combine like terms: 12a + -5a = 7a 18 + 7a = 25 + 5a + -5a Combine like terms: 5a + -5a = 0 18 + 7a = 25 + 0 18 + 7a = 25 Add '-18' to each side of the equation. 18 + -18 + 7a = 25 + -18 Combine like terms: 18 + -18 = 0 0 + 7a = 25 + -18 7a = 25 + -18 Combine like terms: 25 + -18 = 7 7a = 7 Divide each side by '7'. a = 1 Simplifying a = 1
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