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Simplifying 2a + 5b + -42.35 = -29 Reorder the terms: -42.35 + 2a + 5b = -29 Solving -42.35 + 2a + 5b = -29 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42.35' to each side of the equation. -42.35 + 2a + 42.35 + 5b = -29 + 42.35 Reorder the terms: -42.35 + 42.35 + 2a + 5b = -29 + 42.35 Combine like terms: -42.35 + 42.35 = 0.00 0.00 + 2a + 5b = -29 + 42.35 2a + 5b = -29 + 42.35 Combine like terms: -29 + 42.35 = 13.35 2a + 5b = 13.35 Add '-5b' to each side of the equation. 2a + 5b + -5b = 13.35 + -5b Combine like terms: 5b + -5b = 0 2a + 0 = 13.35 + -5b 2a = 13.35 + -5b Divide each side by '2'. a = 6.675 + -2.5b Simplifying a = 6.675 + -2.5b
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