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Simplifying 7(3a + 2) + -3(9 + -2a) = 0 Reorder the terms: 7(2 + 3a) + -3(9 + -2a) = 0 (2 * 7 + 3a * 7) + -3(9 + -2a) = 0 (14 + 21a) + -3(9 + -2a) = 0 14 + 21a + (9 * -3 + -2a * -3) = 0 14 + 21a + (-27 + 6a) = 0 Reorder the terms: 14 + -27 + 21a + 6a = 0 Combine like terms: 14 + -27 = -13 -13 + 21a + 6a = 0 Combine like terms: 21a + 6a = 27a -13 + 27a = 0 Solving -13 + 27a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 27a = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 27a = 0 + 13 27a = 0 + 13 Combine like terms: 0 + 13 = 13 27a = 13 Divide each side by '27'. a = 0.4814814815 Simplifying a = 0.4814814815
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