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Simplifying -5(7 + 3a) + 4(8 + -1a) = 9 (7 * -5 + 3a * -5) + 4(8 + -1a) = 9 (-35 + -15a) + 4(8 + -1a) = 9 -35 + -15a + (8 * 4 + -1a * 4) = 9 -35 + -15a + (32 + -4a) = 9 Reorder the terms: -35 + 32 + -15a + -4a = 9 Combine like terms: -35 + 32 = -3 -3 + -15a + -4a = 9 Combine like terms: -15a + -4a = -19a -3 + -19a = 9 Solving -3 + -19a = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -19a = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -19a = 9 + 3 -19a = 9 + 3 Combine like terms: 9 + 3 = 12 -19a = 12 Divide each side by '-19'. a = -0.6315789474 Simplifying a = -0.6315789474
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