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Simplifying -12 + 3 + 5a + 8a = 7a + 3 Combine like terms: -12 + 3 = -9 -9 + 5a + 8a = 7a + 3 Combine like terms: 5a + 8a = 13a -9 + 13a = 7a + 3 Reorder the terms: -9 + 13a = 3 + 7a Solving -9 + 13a = 3 + 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. -9 + 13a + -7a = 3 + 7a + -7a Combine like terms: 13a + -7a = 6a -9 + 6a = 3 + 7a + -7a Combine like terms: 7a + -7a = 0 -9 + 6a = 3 + 0 -9 + 6a = 3 Add '9' to each side of the equation. -9 + 9 + 6a = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 6a = 3 + 9 6a = 3 + 9 Combine like terms: 3 + 9 = 12 6a = 12 Divide each side by '6'. a = 2 Simplifying a = 2
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