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Simplifying 8a + 4a + -15 = 9 + 8a + 4 Reorder the terms: -15 + 8a + 4a = 9 + 8a + 4 Combine like terms: 8a + 4a = 12a -15 + 12a = 9 + 8a + 4 Reorder the terms: -15 + 12a = 9 + 4 + 8a Combine like terms: 9 + 4 = 13 -15 + 12a = 13 + 8a Solving -15 + 12a = 13 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -15 + 12a + -8a = 13 + 8a + -8a Combine like terms: 12a + -8a = 4a -15 + 4a = 13 + 8a + -8a Combine like terms: 8a + -8a = 0 -15 + 4a = 13 + 0 -15 + 4a = 13 Add '15' to each side of the equation. -15 + 15 + 4a = 13 + 15 Combine like terms: -15 + 15 = 0 0 + 4a = 13 + 15 4a = 13 + 15 Combine like terms: 13 + 15 = 28 4a = 28 Divide each side by '4'. a = 7 Simplifying a = 7
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