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Simplifying 6(3 + 2a) + -4(a + -2) = 4a (3 * 6 + 2a * 6) + -4(a + -2) = 4a (18 + 12a) + -4(a + -2) = 4a Reorder the terms: 18 + 12a + -4(-2 + a) = 4a 18 + 12a + (-2 * -4 + a * -4) = 4a 18 + 12a + (8 + -4a) = 4a Reorder the terms: 18 + 8 + 12a + -4a = 4a Combine like terms: 18 + 8 = 26 26 + 12a + -4a = 4a Combine like terms: 12a + -4a = 8a 26 + 8a = 4a Solving 26 + 8a = 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. 26 + 8a + -4a = 4a + -4a Combine like terms: 8a + -4a = 4a 26 + 4a = 4a + -4a Combine like terms: 4a + -4a = 0 26 + 4a = 0 Add '-26' to each side of the equation. 26 + -26 + 4a = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 4a = 0 + -26 4a = 0 + -26 Combine like terms: 0 + -26 = -26 4a = -26 Divide each side by '4'. a = -6.5 Simplifying a = -6.5
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