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Simplifying (4a + -5) + -8(2.5a + 3) = 0 Reorder the terms: (-5 + 4a) + -8(2.5a + 3) = 0 Remove parenthesis around (-5 + 4a) -5 + 4a + -8(2.5a + 3) = 0 Reorder the terms: -5 + 4a + -8(3 + 2.5a) = 0 -5 + 4a + (3 * -8 + 2.5a * -8) = 0 -5 + 4a + (-24 + -20a) = 0 Reorder the terms: -5 + -24 + 4a + -20a = 0 Combine like terms: -5 + -24 = -29 -29 + 4a + -20a = 0 Combine like terms: 4a + -20a = -16a -29 + -16a = 0 Solving -29 + -16a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -16a = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -16a = 0 + 29 -16a = 0 + 29 Combine like terms: 0 + 29 = 29 -16a = 29 Divide each side by '-16'. a = -1.8125 Simplifying a = -1.8125
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