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Simplifying 7(2a + 3) + 3(2a + -6) = 0 Reorder the terms: 7(3 + 2a) + 3(2a + -6) = 0 (3 * 7 + 2a * 7) + 3(2a + -6) = 0 (21 + 14a) + 3(2a + -6) = 0 Reorder the terms: 21 + 14a + 3(-6 + 2a) = 0 21 + 14a + (-6 * 3 + 2a * 3) = 0 21 + 14a + (-18 + 6a) = 0 Reorder the terms: 21 + -18 + 14a + 6a = 0 Combine like terms: 21 + -18 = 3 3 + 14a + 6a = 0 Combine like terms: 14a + 6a = 20a 3 + 20a = 0 Solving 3 + 20a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 20a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 20a = 0 + -3 20a = 0 + -3 Combine like terms: 0 + -3 = -3 20a = -3 Divide each side by '20'. a = -0.15 Simplifying a = -0.15
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