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Simplifying -5(7a + 9) = -29 + -8a Reorder the terms: -5(9 + 7a) = -29 + -8a (9 * -5 + 7a * -5) = -29 + -8a (-45 + -35a) = -29 + -8a Solving -45 + -35a = -29 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -45 + -35a + 8a = -29 + -8a + 8a Combine like terms: -35a + 8a = -27a -45 + -27a = -29 + -8a + 8a Combine like terms: -8a + 8a = 0 -45 + -27a = -29 + 0 -45 + -27a = -29 Add '45' to each side of the equation. -45 + 45 + -27a = -29 + 45 Combine like terms: -45 + 45 = 0 0 + -27a = -29 + 45 -27a = -29 + 45 Combine like terms: -29 + 45 = 16 -27a = 16 Divide each side by '-27'. a = -0.5925925926 Simplifying a = -0.5925925926
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