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Simplifying -3a + 3a = -4(4a + 2) + 4(3a + 6) Combine like terms: -3a + 3a = 0 0 = -4(4a + 2) + 4(3a + 6) Reorder the terms: 0 = -4(2 + 4a) + 4(3a + 6) 0 = (2 * -4 + 4a * -4) + 4(3a + 6) 0 = (-8 + -16a) + 4(3a + 6) Reorder the terms: 0 = -8 + -16a + 4(6 + 3a) 0 = -8 + -16a + (6 * 4 + 3a * 4) 0 = -8 + -16a + (24 + 12a) Reorder the terms: 0 = -8 + 24 + -16a + 12a Combine like terms: -8 + 24 = 16 0 = 16 + -16a + 12a Combine like terms: -16a + 12a = -4a 0 = 16 + -4a Solving 0 = 16 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 0 + 4a = 16 + -4a + 4a Remove the zero: 4a = 16 + -4a + 4a Combine like terms: -4a + 4a = 0 4a = 16 + 0 4a = 16 Divide each side by '4'. a = 4 Simplifying a = 4
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