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Simplifying 9a + 7 = 4a + -33 Reorder the terms: 7 + 9a = 4a + -33 Reorder the terms: 7 + 9a = -33 + 4a Solving 7 + 9a = -33 + 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. 7 + 9a + -4a = -33 + 4a + -4a Combine like terms: 9a + -4a = 5a 7 + 5a = -33 + 4a + -4a Combine like terms: 4a + -4a = 0 7 + 5a = -33 + 0 7 + 5a = -33 Add '-7' to each side of the equation. 7 + -7 + 5a = -33 + -7 Combine like terms: 7 + -7 = 0 0 + 5a = -33 + -7 5a = -33 + -7 Combine like terms: -33 + -7 = -40 5a = -40 Divide each side by '5'. a = -8 Simplifying a = -8
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