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Simplifying 15 = 7a + 3 + -1a Reorder the terms: 15 = 3 + 7a + -1a Combine like terms: 7a + -1a = 6a 15 = 3 + 6a Solving 15 = 3 + 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. 15 + -6a = 3 + 6a + -6a Combine like terms: 6a + -6a = 0 15 + -6a = 3 + 0 15 + -6a = 3 Add '-15' to each side of the equation. 15 + -15 + -6a = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -6a = 3 + -15 -6a = 3 + -15 Combine like terms: 3 + -15 = -12 -6a = -12 Divide each side by '-6'. a = 2 Simplifying a = 2
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