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Simplifying 10 = 5a + 7(1 + -1a) 10 = 5a + (1 * 7 + -1a * 7) 10 = 5a + (7 + -7a) Reorder the terms: 10 = 7 + 5a + -7a Combine like terms: 5a + -7a = -2a 10 = 7 + -2a Solving 10 = 7 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 10 + 2a = 7 + -2a + 2a Combine like terms: -2a + 2a = 0 10 + 2a = 7 + 0 10 + 2a = 7 Add '-10' to each side of the equation. 10 + -10 + 2a = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 2a = 7 + -10 2a = 7 + -10 Combine like terms: 7 + -10 = -3 2a = -3 Divide each side by '2'. a = -1.5 Simplifying a = -1.5
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