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Simplifying -1(4a + -7) + -5a = 10 + 9 Reorder the terms: -1(-7 + 4a) + -5a = 10 + 9 (-7 * -1 + 4a * -1) + -5a = 10 + 9 (7 + -4a) + -5a = 10 + 9 Combine like terms: -4a + -5a = -9a 7 + -9a = 10 + 9 Combine like terms: 10 + 9 = 19 7 + -9a = 19 Solving 7 + -9a = 19 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9a = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -9a = 19 + -7 -9a = 19 + -7 Combine like terms: 19 + -7 = 12 -9a = 12 Divide each side by '-9'. a = -1.333333333 Simplifying a = -1.333333333
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