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Simplifying -1(2a + 6) + 3(1 + 3a) = 0 Reorder the terms: -1(6 + 2a) + 3(1 + 3a) = 0 (6 * -1 + 2a * -1) + 3(1 + 3a) = 0 (-6 + -2a) + 3(1 + 3a) = 0 -6 + -2a + (1 * 3 + 3a * 3) = 0 -6 + -2a + (3 + 9a) = 0 Reorder the terms: -6 + 3 + -2a + 9a = 0 Combine like terms: -6 + 3 = -3 -3 + -2a + 9a = 0 Combine like terms: -2a + 9a = 7a -3 + 7a = 0 Solving -3 + 7a = 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 + 7a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7a = 0 + 3 7a = 0 + 3 Combine like terms: 0 + 3 = 3 7a = 3 Divide each side by '7'. a = 0.4285714286 Simplifying a = 0.4285714286
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