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Simplifying 5(6 + -4(a + -4)) + -5(4 + -6a) = 0 Reorder the terms: 5(6 + -4(-4 + a)) + -5(4 + -6a) = 0 5(6 + (-4 * -4 + a * -4)) + -5(4 + -6a) = 0 5(6 + (16 + -4a)) + -5(4 + -6a) = 0 Combine like terms: 6 + 16 = 22 5(22 + -4a) + -5(4 + -6a) = 0 (22 * 5 + -4a * 5) + -5(4 + -6a) = 0 (110 + -20a) + -5(4 + -6a) = 0 110 + -20a + (4 * -5 + -6a * -5) = 0 110 + -20a + (-20 + 30a) = 0 Reorder the terms: 110 + -20 + -20a + 30a = 0 Combine like terms: 110 + -20 = 90 90 + -20a + 30a = 0 Combine like terms: -20a + 30a = 10a 90 + 10a = 0 Solving 90 + 10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 10a = 0 + -90 Combine like terms: 90 + -90 = 0 0 + 10a = 0 + -90 10a = 0 + -90 Combine like terms: 0 + -90 = -90 10a = -90 Divide each side by '10'. a = -9 Simplifying a = -9
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