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Simplifying 5 + -3a + 5a = 8 + 6 + 9a Combine like terms: -3a + 5a = 2a 5 + 2a = 8 + 6 + 9a Combine like terms: 8 + 6 = 14 5 + 2a = 14 + 9a Solving 5 + 2a = 14 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 5 + 2a + -9a = 14 + 9a + -9a Combine like terms: 2a + -9a = -7a 5 + -7a = 14 + 9a + -9a Combine like terms: 9a + -9a = 0 5 + -7a = 14 + 0 5 + -7a = 14 Add '-5' to each side of the equation. 5 + -5 + -7a = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -7a = 14 + -5 -7a = 14 + -5 Combine like terms: 14 + -5 = 9 -7a = 9 Divide each side by '-7'. a = -1.285714286 Simplifying a = -1.285714286
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