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Simplifying 3a + 2(6 + -1a) = 4a + -4(2a + 3) 3a + (6 * 2 + -1a * 2) = 4a + -4(2a + 3) 3a + (12 + -2a) = 4a + -4(2a + 3) Reorder the terms: 12 + 3a + -2a = 4a + -4(2a + 3) Combine like terms: 3a + -2a = 1a 12 + 1a = 4a + -4(2a + 3) Reorder the terms: 12 + 1a = 4a + -4(3 + 2a) 12 + 1a = 4a + (3 * -4 + 2a * -4) 12 + 1a = 4a + (-12 + -8a) Reorder the terms: 12 + 1a = -12 + 4a + -8a Combine like terms: 4a + -8a = -4a 12 + 1a = -12 + -4a Solving 12 + 1a = -12 + -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. 12 + 1a + 4a = -12 + -4a + 4a Combine like terms: 1a + 4a = 5a 12 + 5a = -12 + -4a + 4a Combine like terms: -4a + 4a = 0 12 + 5a = -12 + 0 12 + 5a = -12 Add '-12' to each side of the equation. 12 + -12 + 5a = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 5a = -12 + -12 5a = -12 + -12 Combine like terms: -12 + -12 = -24 5a = -24 Divide each side by '5'. a = -4.8 Simplifying a = -4.8
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