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Simplifying -5a + 15 = 7 + -7a Reorder the terms: 15 + -5a = 7 + -7a Solving 15 + -5a = 7 + -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. 15 + -5a + 7a = 7 + -7a + 7a Combine like terms: -5a + 7a = 2a 15 + 2a = 7 + -7a + 7a Combine like terms: -7a + 7a = 0 15 + 2a = 7 + 0 15 + 2a = 7 Add '-15' to each side of the equation. 15 + -15 + 2a = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 2a = 7 + -15 2a = 7 + -15 Combine like terms: 7 + -15 = -8 2a = -8 Divide each side by '2'. a = -4 Simplifying a = -4
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