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Simplifying 3a + -5 = 40 + -2a Reorder the terms: -5 + 3a = 40 + -2a Solving -5 + 3a = 40 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -5 + 3a + 2a = 40 + -2a + 2a Combine like terms: 3a + 2a = 5a -5 + 5a = 40 + -2a + 2a Combine like terms: -2a + 2a = 0 -5 + 5a = 40 + 0 -5 + 5a = 40 Add '5' to each side of the equation. -5 + 5 + 5a = 40 + 5 Combine like terms: -5 + 5 = 0 0 + 5a = 40 + 5 5a = 40 + 5 Combine like terms: 40 + 5 = 45 5a = 45 Divide each side by '5'. a = 9 Simplifying a = 9
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