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Simplifying 4a + 9 = 7a + -5 Reorder the terms: 9 + 4a = 7a + -5 Reorder the terms: 9 + 4a = -5 + 7a Solving 9 + 4a = -5 + 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. 9 + 4a + -7a = -5 + 7a + -7a Combine like terms: 4a + -7a = -3a 9 + -3a = -5 + 7a + -7a Combine like terms: 7a + -7a = 0 9 + -3a = -5 + 0 9 + -3a = -5 Add '-9' to each side of the equation. 9 + -9 + -3a = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -3a = -5 + -9 -3a = -5 + -9 Combine like terms: -5 + -9 = -14 -3a = -14 Divide each side by '-3'. a = 4.666666667 Simplifying a = 4.666666667
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