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Simplifying 8a + 3a + 18 = 8 + 7a + 6 Reorder the terms: 18 + 8a + 3a = 8 + 7a + 6 Combine like terms: 8a + 3a = 11a 18 + 11a = 8 + 7a + 6 Reorder the terms: 18 + 11a = 8 + 6 + 7a Combine like terms: 8 + 6 = 14 18 + 11a = 14 + 7a Solving 18 + 11a = 14 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 18 + 11a + -7a = 14 + 7a + -7a Combine like terms: 11a + -7a = 4a 18 + 4a = 14 + 7a + -7a Combine like terms: 7a + -7a = 0 18 + 4a = 14 + 0 18 + 4a = 14 Add '-18' to each side of the equation. 18 + -18 + 4a = 14 + -18 Combine like terms: 18 + -18 = 0 0 + 4a = 14 + -18 4a = 14 + -18 Combine like terms: 14 + -18 = -4 4a = -4 Divide each side by '4'. a = -1 Simplifying a = -1
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