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Simplifying 5(8a + 9) = -35 + 4a Reorder the terms: 5(9 + 8a) = -35 + 4a (9 * 5 + 8a * 5) = -35 + 4a (45 + 40a) = -35 + 4a Solving 45 + 40a = -35 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 45 + 40a + -4a = -35 + 4a + -4a Combine like terms: 40a + -4a = 36a 45 + 36a = -35 + 4a + -4a Combine like terms: 4a + -4a = 0 45 + 36a = -35 + 0 45 + 36a = -35 Add '-45' to each side of the equation. 45 + -45 + 36a = -35 + -45 Combine like terms: 45 + -45 = 0 0 + 36a = -35 + -45 36a = -35 + -45 Combine like terms: -35 + -45 = -80 36a = -80 Divide each side by '36'. a = -2.222222222 Simplifying a = -2.222222222
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