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Simplifying 2(5a + -1) + -4(-2a + 3) = 0 Reorder the terms: 2(-1 + 5a) + -4(-2a + 3) = 0 (-1 * 2 + 5a * 2) + -4(-2a + 3) = 0 (-2 + 10a) + -4(-2a + 3) = 0 Reorder the terms: -2 + 10a + -4(3 + -2a) = 0 -2 + 10a + (3 * -4 + -2a * -4) = 0 -2 + 10a + (-12 + 8a) = 0 Reorder the terms: -2 + -12 + 10a + 8a = 0 Combine like terms: -2 + -12 = -14 -14 + 10a + 8a = 0 Combine like terms: 10a + 8a = 18a -14 + 18a = 0 Solving -14 + 18a = 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 + 18a = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 18a = 0 + 14 18a = 0 + 14 Combine like terms: 0 + 14 = 14 18a = 14 Divide each side by '18'. a = 0.7777777778 Simplifying a = 0.7777777778
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