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Simplifying 5a + 7 = 2a + -9 Reorder the terms: 7 + 5a = 2a + -9 Reorder the terms: 7 + 5a = -9 + 2a Solving 7 + 5a = -9 + 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. 7 + 5a + -2a = -9 + 2a + -2a Combine like terms: 5a + -2a = 3a 7 + 3a = -9 + 2a + -2a Combine like terms: 2a + -2a = 0 7 + 3a = -9 + 0 7 + 3a = -9 Add '-7' to each side of the equation. 7 + -7 + 3a = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 3a = -9 + -7 3a = -9 + -7 Combine like terms: -9 + -7 = -16 3a = -16 Divide each side by '3'. a = -5.333333333 Simplifying a = -5.333333333
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