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Simplifying 3(a + 4) = 5a + -12 Reorder the terms: 3(4 + a) = 5a + -12 (4 * 3 + a * 3) = 5a + -12 (12 + 3a) = 5a + -12 Reorder the terms: 12 + 3a = -12 + 5a Solving 12 + 3a = -12 + 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. 12 + 3a + -5a = -12 + 5a + -5a Combine like terms: 3a + -5a = -2a 12 + -2a = -12 + 5a + -5a Combine like terms: 5a + -5a = 0 12 + -2a = -12 + 0 12 + -2a = -12 Add '-12' to each side of the equation. 12 + -12 + -2a = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -2a = -12 + -12 -2a = -12 + -12 Combine like terms: -12 + -12 = -24 -2a = -24 Divide each side by '-2'. a = 12 Simplifying a = 12
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