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Simplifying 2(5 + -1a) + -6(2a + 3) = 0 (5 * 2 + -1a * 2) + -6(2a + 3) = 0 (10 + -2a) + -6(2a + 3) = 0 Reorder the terms: 10 + -2a + -6(3 + 2a) = 0 10 + -2a + (3 * -6 + 2a * -6) = 0 10 + -2a + (-18 + -12a) = 0 Reorder the terms: 10 + -18 + -2a + -12a = 0 Combine like terms: 10 + -18 = -8 -8 + -2a + -12a = 0 Combine like terms: -2a + -12a = -14a -8 + -14a = 0 Solving -8 + -14a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -14a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -14a = 0 + 8 -14a = 0 + 8 Combine like terms: 0 + 8 = 8 -14a = 8 Divide each side by '-14'. a = -0.5714285714 Simplifying a = -0.5714285714
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