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Simplifying (4a + -5) + -8(-2a + 3) = 0 Reorder the terms: (-5 + 4a) + -8(-2a + 3) = 0 Remove parenthesis around (-5 + 4a) -5 + 4a + -8(-2a + 3) = 0 Reorder the terms: -5 + 4a + -8(3 + -2a) = 0 -5 + 4a + (3 * -8 + -2a * -8) = 0 -5 + 4a + (-24 + 16a) = 0 Reorder the terms: -5 + -24 + 4a + 16a = 0 Combine like terms: -5 + -24 = -29 -29 + 4a + 16a = 0 Combine like terms: 4a + 16a = 20a -29 + 20a = 0 Solving -29 + 20a = 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 + 20a = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 20a = 0 + 29 20a = 0 + 29 Combine like terms: 0 + 29 = 29 20a = 29 Divide each side by '20'. a = 1.45 Simplifying a = 1.45
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