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Simplifying 6a + 3a + 28 = 4 + 6a + 9 Reorder the terms: 28 + 6a + 3a = 4 + 6a + 9 Combine like terms: 6a + 3a = 9a 28 + 9a = 4 + 6a + 9 Reorder the terms: 28 + 9a = 4 + 9 + 6a Combine like terms: 4 + 9 = 13 28 + 9a = 13 + 6a Solving 28 + 9a = 13 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 28 + 9a + -6a = 13 + 6a + -6a Combine like terms: 9a + -6a = 3a 28 + 3a = 13 + 6a + -6a Combine like terms: 6a + -6a = 0 28 + 3a = 13 + 0 28 + 3a = 13 Add '-28' to each side of the equation. 28 + -28 + 3a = 13 + -28 Combine like terms: 28 + -28 = 0 0 + 3a = 13 + -28 3a = 13 + -28 Combine like terms: 13 + -28 = -15 3a = -15 Divide each side by '3'. a = -5 Simplifying a = -5
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