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Simplifying 7a + -5 + 2a = 15 + 40a Reorder the terms: -5 + 7a + 2a = 15 + 40a Combine like terms: 7a + 2a = 9a -5 + 9a = 15 + 40a Solving -5 + 9a = 15 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. -5 + 9a + -40a = 15 + 40a + -40a Combine like terms: 9a + -40a = -31a -5 + -31a = 15 + 40a + -40a Combine like terms: 40a + -40a = 0 -5 + -31a = 15 + 0 -5 + -31a = 15 Add '5' to each side of the equation. -5 + 5 + -31a = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -31a = 15 + 5 -31a = 15 + 5 Combine like terms: 15 + 5 = 20 -31a = 20 Divide each side by '-31'. a = -0.6451612903 Simplifying a = -0.6451612903
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