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Simplifying 5a + -2 = 8a + -9 Reorder the terms: -2 + 5a = 8a + -9 Reorder the terms: -2 + 5a = -9 + 8a Solving -2 + 5a = -9 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -2 + 5a + -8a = -9 + 8a + -8a Combine like terms: 5a + -8a = -3a -2 + -3a = -9 + 8a + -8a Combine like terms: 8a + -8a = 0 -2 + -3a = -9 + 0 -2 + -3a = -9 Add '2' to each side of the equation. -2 + 2 + -3a = -9 + 2 Combine like terms: -2 + 2 = 0 0 + -3a = -9 + 2 -3a = -9 + 2 Combine like terms: -9 + 2 = -7 -3a = -7 Divide each side by '-3'. a = 2.333333333 Simplifying a = 2.333333333
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