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Simplifying 2a + 7 = -1a + 9 Reorder the terms: 7 + 2a = -1a + 9 Reorder the terms: 7 + 2a = 9 + -1a Solving 7 + 2a = 9 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 7 + 2a + a = 9 + -1a + a Combine like terms: 2a + a = 3a 7 + 3a = 9 + -1a + a Combine like terms: -1a + a = 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 = 2 3a = 2 Divide each side by '3'. a = 0.6666666667 Simplifying a = 0.6666666667
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