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Simplifying 15 + 7a + 4a = 12 + -3a + 13a Combine like terms: 7a + 4a = 11a 15 + 11a = 12 + -3a + 13a Combine like terms: -3a + 13a = 10a 15 + 11a = 12 + 10a Solving 15 + 11a = 12 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 15 + 11a + -10a = 12 + 10a + -10a Combine like terms: 11a + -10a = 1a 15 + 1a = 12 + 10a + -10a Combine like terms: 10a + -10a = 0 15 + 1a = 12 + 0 15 + 1a = 12 Add '-15' to each side of the equation. 15 + -15 + 1a = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 1a = 12 + -15 1a = 12 + -15 Combine like terms: 12 + -15 = -3 1a = -3 Divide each side by '1'. a = -3 Simplifying a = -3
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