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Simplifying a(7) = a(7 + -1) + -15 Reorder the terms for easier multiplication: 7a = a(7 + -1) + -15 Combine like terms: 7 + -1 = 6 7a = a(6) + -15 Reorder the terms for easier multiplication: 7a = 6a + -15 Reorder the terms: 7a = -15 + 6a Solving 7a = -15 + 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. 7a + -6a = -15 + 6a + -6a Combine like terms: 7a + -6a = 1a 1a = -15 + 6a + -6a Combine like terms: 6a + -6a = 0 1a = -15 + 0 1a = -15 Divide each side by '1'. a = -15 Simplifying a = -15
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