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Simplifying 8a + 3 + -6a + 6 = 7a + -18 + a Reorder the terms: 3 + 6 + 8a + -6a = 7a + -18 + a Combine like terms: 3 + 6 = 9 9 + 8a + -6a = 7a + -18 + a Combine like terms: 8a + -6a = 2a 9 + 2a = 7a + -18 + a Reorder the terms: 9 + 2a = -18 + 7a + a Combine like terms: 7a + a = 8a 9 + 2a = -18 + 8a Solving 9 + 2a = -18 + 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. 9 + 2a + -8a = -18 + 8a + -8a Combine like terms: 2a + -8a = -6a 9 + -6a = -18 + 8a + -8a Combine like terms: 8a + -8a = 0 9 + -6a = -18 + 0 9 + -6a = -18 Add '-9' to each side of the equation. 9 + -9 + -6a = -18 + -9 Combine like terms: 9 + -9 = 0 0 + -6a = -18 + -9 -6a = -18 + -9 Combine like terms: -18 + -9 = -27 -6a = -27 Divide each side by '-6'. a = 4.5 Simplifying a = 4.5
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