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Simplifying -3a + 33 + 7a = 2a + -9a Reorder the terms: 33 + -3a + 7a = 2a + -9a Combine like terms: -3a + 7a = 4a 33 + 4a = 2a + -9a Combine like terms: 2a + -9a = -7a 33 + 4a = -7a Solving 33 + 4a = -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 33 + 4a + 7a = -7a + 7a Combine like terms: 4a + 7a = 11a 33 + 11a = -7a + 7a Combine like terms: -7a + 7a = 0 33 + 11a = 0 Add '-33' to each side of the equation. 33 + -33 + 11a = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 11a = 0 + -33 11a = 0 + -33 Combine like terms: 0 + -33 = -33 11a = -33 Divide each side by '11'. a = -3 Simplifying a = -3
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