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Simplifying 6a + 12 + -3 = 5a + 4a + -15 Reorder the terms: 12 + -3 + 6a = 5a + 4a + -15 Combine like terms: 12 + -3 = 9 9 + 6a = 5a + 4a + -15 Reorder the terms: 9 + 6a = -15 + 5a + 4a Combine like terms: 5a + 4a = 9a 9 + 6a = -15 + 9a Solving 9 + 6a = -15 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 9 + 6a + -9a = -15 + 9a + -9a Combine like terms: 6a + -9a = -3a 9 + -3a = -15 + 9a + -9a Combine like terms: 9a + -9a = 0 9 + -3a = -15 + 0 9 + -3a = -15 Add '-9' to each side of the equation. 9 + -9 + -3a = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -3a = -15 + -9 -3a = -15 + -9 Combine like terms: -15 + -9 = -24 -3a = -24 Divide each side by '-3'. a = 8 Simplifying a = 8
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