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Simplifying 8a + -9 + 3a + -7a = -5a + 3 + 6a + 15 Reorder the terms: -9 + 8a + 3a + -7a = -5a + 3 + 6a + 15 Combine like terms: 8a + 3a = 11a -9 + 11a + -7a = -5a + 3 + 6a + 15 Combine like terms: 11a + -7a = 4a -9 + 4a = -5a + 3 + 6a + 15 Reorder the terms: -9 + 4a = 3 + 15 + -5a + 6a Combine like terms: 3 + 15 = 18 -9 + 4a = 18 + -5a + 6a Combine like terms: -5a + 6a = 1a -9 + 4a = 18 + 1a Solving -9 + 4a = 18 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -9 + 4a + -1a = 18 + 1a + -1a Combine like terms: 4a + -1a = 3a -9 + 3a = 18 + 1a + -1a Combine like terms: 1a + -1a = 0 -9 + 3a = 18 + 0 -9 + 3a = 18 Add '9' to each side of the equation. -9 + 9 + 3a = 18 + 9 Combine like terms: -9 + 9 = 0 0 + 3a = 18 + 9 3a = 18 + 9 Combine like terms: 18 + 9 = 27 3a = 27 Divide each side by '3'. a = 9 Simplifying a = 9
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