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Simplifying 42a + 29 + -40a = 45 Reorder the terms: 29 + 42a + -40a = 45 Combine like terms: 42a + -40a = 2a 29 + 2a = 45 Solving 29 + 2a = 45 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 + 2a = 45 + -29 Combine like terms: 29 + -29 = 0 0 + 2a = 45 + -29 2a = 45 + -29 Combine like terms: 45 + -29 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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