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Simplifying 3a + -2(6a + -4) = 4 + -1(4a + 6) Reorder the terms: 3a + -2(-4 + 6a) = 4 + -1(4a + 6) 3a + (-4 * -2 + 6a * -2) = 4 + -1(4a + 6) 3a + (8 + -12a) = 4 + -1(4a + 6) Reorder the terms: 8 + 3a + -12a = 4 + -1(4a + 6) Combine like terms: 3a + -12a = -9a 8 + -9a = 4 + -1(4a + 6) Reorder the terms: 8 + -9a = 4 + -1(6 + 4a) 8 + -9a = 4 + (6 * -1 + 4a * -1) 8 + -9a = 4 + (-6 + -4a) Combine like terms: 4 + -6 = -2 8 + -9a = -2 + -4a Solving 8 + -9a = -2 + -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. 8 + -9a + 4a = -2 + -4a + 4a Combine like terms: -9a + 4a = -5a 8 + -5a = -2 + -4a + 4a Combine like terms: -4a + 4a = 0 8 + -5a = -2 + 0 8 + -5a = -2 Add '-8' to each side of the equation. 8 + -8 + -5a = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -5a = -2 + -8 -5a = -2 + -8 Combine like terms: -2 + -8 = -10 -5a = -10 Divide each side by '-5'. a = 2 Simplifying a = 2
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