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Simplifying 2(6a + -1) + -1(2a + -3) + 3(7a + -5) = 0 Reorder the terms: 2(-1 + 6a) + -1(2a + -3) + 3(7a + -5) = 0 (-1 * 2 + 6a * 2) + -1(2a + -3) + 3(7a + -5) = 0 (-2 + 12a) + -1(2a + -3) + 3(7a + -5) = 0 Reorder the terms: -2 + 12a + -1(-3 + 2a) + 3(7a + -5) = 0 -2 + 12a + (-3 * -1 + 2a * -1) + 3(7a + -5) = 0 -2 + 12a + (3 + -2a) + 3(7a + -5) = 0 Reorder the terms: -2 + 12a + 3 + -2a + 3(-5 + 7a) = 0 -2 + 12a + 3 + -2a + (-5 * 3 + 7a * 3) = 0 -2 + 12a + 3 + -2a + (-15 + 21a) = 0 Reorder the terms: -2 + 3 + -15 + 12a + -2a + 21a = 0 Combine like terms: -2 + 3 = 1 1 + -15 + 12a + -2a + 21a = 0 Combine like terms: 1 + -15 = -14 -14 + 12a + -2a + 21a = 0 Combine like terms: 12a + -2a = 10a -14 + 10a + 21a = 0 Combine like terms: 10a + 21a = 31a -14 + 31a = 0 Solving -14 + 31a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 31a = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 31a = 0 + 14 31a = 0 + 14 Combine like terms: 0 + 14 = 14 31a = 14 Divide each side by '31'. a = 0.4516129032 Simplifying a = 0.4516129032
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