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Simplifying 3(-12a + 4) = 7(4 + -5a) + -4 Reorder the terms: 3(4 + -12a) = 7(4 + -5a) + -4 (4 * 3 + -12a * 3) = 7(4 + -5a) + -4 (12 + -36a) = 7(4 + -5a) + -4 12 + -36a = (4 * 7 + -5a * 7) + -4 12 + -36a = (28 + -35a) + -4 Reorder the terms: 12 + -36a = 28 + -4 + -35a Combine like terms: 28 + -4 = 24 12 + -36a = 24 + -35a Solving 12 + -36a = 24 + -35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35a' to each side of the equation. 12 + -36a + 35a = 24 + -35a + 35a Combine like terms: -36a + 35a = -1a 12 + -1a = 24 + -35a + 35a Combine like terms: -35a + 35a = 0 12 + -1a = 24 + 0 12 + -1a = 24 Add '-12' to each side of the equation. 12 + -12 + -1a = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -1a = 24 + -12 -1a = 24 + -12 Combine like terms: 24 + -12 = 12 -1a = 12 Divide each side by '-1'. a = -12 Simplifying a = -12
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