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Simplifying 3(4 + 5a) = a + 2a (4 * 3 + 5a * 3) = a + 2a (12 + 15a) = a + 2a Combine like terms: a + 2a = 3a 12 + 15a = 3a Solving 12 + 15a = 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 12 + 15a + -3a = 3a + -3a Combine like terms: 15a + -3a = 12a 12 + 12a = 3a + -3a Combine like terms: 3a + -3a = 0 12 + 12a = 0 Add '-12' to each side of the equation. 12 + -12 + 12a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 12a = 0 + -12 12a = 0 + -12 Combine like terms: 0 + -12 = -12 12a = -12 Divide each side by '12'. a = -1 Simplifying a = -1
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