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Simplifying (4a + -29) + (4a + 2b) = 0 Reorder the terms: (-29 + 4a) + (4a + 2b) = 0 Remove parenthesis around (-29 + 4a) -29 + 4a + (4a + 2b) = 0 Remove parenthesis around (4a + 2b) -29 + 4a + 4a + 2b = 0 Combine like terms: 4a + 4a = 8a -29 + 8a + 2b = 0 Solving -29 + 8a + 2b = 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 + 8a + 29 + 2b = 0 + 29 Reorder the terms: -29 + 29 + 8a + 2b = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 8a + 2b = 0 + 29 8a + 2b = 0 + 29 Combine like terms: 0 + 29 = 29 8a + 2b = 29 Add '-2b' to each side of the equation. 8a + 2b + -2b = 29 + -2b Combine like terms: 2b + -2b = 0 8a + 0 = 29 + -2b 8a = 29 + -2b Divide each side by '8'. a = 3.625 + -0.25b Simplifying a = 3.625 + -0.25b
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