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Simplifying 3(4a + 5) = 3 + 6a Reorder the terms: 3(5 + 4a) = 3 + 6a (5 * 3 + 4a * 3) = 3 + 6a (15 + 12a) = 3 + 6a Solving 15 + 12a = 3 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 15 + 12a + -6a = 3 + 6a + -6a Combine like terms: 12a + -6a = 6a 15 + 6a = 3 + 6a + -6a Combine like terms: 6a + -6a = 0 15 + 6a = 3 + 0 15 + 6a = 3 Add '-15' to each side of the equation. 15 + -15 + 6a = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 6a = 3 + -15 6a = 3 + -15 Combine like terms: 3 + -15 = -12 6a = -12 Divide each side by '6'. a = -2 Simplifying a = -2
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