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Simplifying (8a + 2b + -4) + (3b + -5) = 0 Reorder the terms: (-4 + 8a + 2b) + (3b + -5) = 0 Remove parenthesis around (-4 + 8a + 2b) -4 + 8a + 2b + (3b + -5) = 0 Reorder the terms: -4 + 8a + 2b + (-5 + 3b) = 0 Remove parenthesis around (-5 + 3b) -4 + 8a + 2b + -5 + 3b = 0 Reorder the terms: -4 + -5 + 8a + 2b + 3b = 0 Combine like terms: -4 + -5 = -9 -9 + 8a + 2b + 3b = 0 Combine like terms: 2b + 3b = 5b -9 + 8a + 5b = 0 Solving -9 + 8a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 8a + 9 + 5b = 0 + 9 Reorder the terms: -9 + 9 + 8a + 5b = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8a + 5b = 0 + 9 8a + 5b = 0 + 9 Combine like terms: 0 + 9 = 9 8a + 5b = 9 Add '-5b' to each side of the equation. 8a + 5b + -5b = 9 + -5b Combine like terms: 5b + -5b = 0 8a + 0 = 9 + -5b 8a = 9 + -5b Divide each side by '8'. a = 1.125 + -0.625b Simplifying a = 1.125 + -0.625b
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