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Simplifying 2a + 18 + 9a = 5a + -7a Reorder the terms: 18 + 2a + 9a = 5a + -7a Combine like terms: 2a + 9a = 11a 18 + 11a = 5a + -7a Combine like terms: 5a + -7a = -2a 18 + 11a = -2a Solving 18 + 11a = -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. 18 + 11a + 2a = -2a + 2a Combine like terms: 11a + 2a = 13a 18 + 13a = -2a + 2a Combine like terms: -2a + 2a = 0 18 + 13a = 0 Add '-18' to each side of the equation. 18 + -18 + 13a = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 13a = 0 + -18 13a = 0 + -18 Combine like terms: 0 + -18 = -18 13a = -18 Divide each side by '13'. a = -1.384615385 Simplifying a = -1.384615385
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