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Simplifying -3a + 40 + 9a = 4a + -8a Reorder the terms: 40 + -3a + 9a = 4a + -8a Combine like terms: -3a + 9a = 6a 40 + 6a = 4a + -8a Combine like terms: 4a + -8a = -4a 40 + 6a = -4a Solving 40 + 6a = -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 40 + 6a + 4a = -4a + 4a Combine like terms: 6a + 4a = 10a 40 + 10a = -4a + 4a Combine like terms: -4a + 4a = 0 40 + 10a = 0 Add '-40' to each side of the equation. 40 + -40 + 10a = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 10a = 0 + -40 10a = 0 + -40 Combine like terms: 0 + -40 = -40 10a = -40 Divide each side by '10'. a = -4 Simplifying a = -4
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