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Simplifying 8(3a + -12) + 8(12a + 12) = 4a + -6a Reorder the terms: 8(-12 + 3a) + 8(12a + 12) = 4a + -6a (-12 * 8 + 3a * 8) + 8(12a + 12) = 4a + -6a (-96 + 24a) + 8(12a + 12) = 4a + -6a Reorder the terms: -96 + 24a + 8(12 + 12a) = 4a + -6a -96 + 24a + (12 * 8 + 12a * 8) = 4a + -6a -96 + 24a + (96 + 96a) = 4a + -6a Reorder the terms: -96 + 96 + 24a + 96a = 4a + -6a Combine like terms: -96 + 96 = 0 0 + 24a + 96a = 4a + -6a 24a + 96a = 4a + -6a Combine like terms: 24a + 96a = 120a 120a = 4a + -6a Combine like terms: 4a + -6a = -2a 120a = -2a Solving 120a = -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 120a + 2a = -2a + 2a Combine like terms: 120a + 2a = 122a 122a = -2a + 2a Combine like terms: -2a + 2a = 0 122a = 0 Divide each side by '122'. a = 0 Simplifying a = 0
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