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Simplifying 2(3a + 7) + -4(5 + -2a) = 6 Reorder the terms: 2(7 + 3a) + -4(5 + -2a) = 6 (7 * 2 + 3a * 2) + -4(5 + -2a) = 6 (14 + 6a) + -4(5 + -2a) = 6 14 + 6a + (5 * -4 + -2a * -4) = 6 14 + 6a + (-20 + 8a) = 6 Reorder the terms: 14 + -20 + 6a + 8a = 6 Combine like terms: 14 + -20 = -6 -6 + 6a + 8a = 6 Combine like terms: 6a + 8a = 14a -6 + 14a = 6 Solving -6 + 14a = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 14a = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 14a = 6 + 6 14a = 6 + 6 Combine like terms: 6 + 6 = 12 14a = 12 Divide each side by '14'. a = 0.8571428571 Simplifying a = 0.8571428571
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