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Simplifying 5a + 9 = 2a + -3 Reorder the terms: 9 + 5a = 2a + -3 Reorder the terms: 9 + 5a = -3 + 2a Solving 9 + 5a = -3 + 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. 9 + 5a + -2a = -3 + 2a + -2a Combine like terms: 5a + -2a = 3a 9 + 3a = -3 + 2a + -2a Combine like terms: 2a + -2a = 0 9 + 3a = -3 + 0 9 + 3a = -3 Add '-9' to each side of the equation. 9 + -9 + 3a = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 3a = -3 + -9 3a = -3 + -9 Combine like terms: -3 + -9 = -12 3a = -12 Divide each side by '3'. a = -4 Simplifying a = -4
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