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Simplifying 4(3 + 2a) = 12 + -7a (3 * 4 + 2a * 4) = 12 + -7a (12 + 8a) = 12 + -7a Add '-12' to each side of the equation. 12 + -12 + 8a = 12 + -12 + -7a Combine like terms: 12 + -12 = 0 0 + 8a = 12 + -12 + -7a 8a = 12 + -12 + -7a Combine like terms: 12 + -12 = 0 8a = 0 + -7a 8a = -7a Solving 8a = -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 8a + 7a = -7a + 7a Combine like terms: 8a + 7a = 15a 15a = -7a + 7a Combine like terms: -7a + 7a = 0 15a = 0 Divide each side by '15'. a = 0 Simplifying a = 0
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