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Simplifying 4(2a + -1) + -1(6a + -5) = 0 Reorder the terms: 4(-1 + 2a) + -1(6a + -5) = 0 (-1 * 4 + 2a * 4) + -1(6a + -5) = 0 (-4 + 8a) + -1(6a + -5) = 0 Reorder the terms: -4 + 8a + -1(-5 + 6a) = 0 -4 + 8a + (-5 * -1 + 6a * -1) = 0 -4 + 8a + (5 + -6a) = 0 Reorder the terms: -4 + 5 + 8a + -6a = 0 Combine like terms: -4 + 5 = 1 1 + 8a + -6a = 0 Combine like terms: 8a + -6a = 2a 1 + 2a = 0 Solving 1 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2a = 0 + -1 2a = 0 + -1 Combine like terms: 0 + -1 = -1 2a = -1 Divide each side by '2'. a = -0.5 Simplifying a = -0.5
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