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Simplifying -1a + -1(-2)(a + 5) = -4a + 15 Reorder the terms: -1a + -1 * -2(5 + a) = -4a + 15 Multiply -1 * -2 -1a + 2(5 + a) = -4a + 15 -1a + (5 * 2 + a * 2) = -4a + 15 -1a + (10 + 2a) = -4a + 15 Reorder the terms: 10 + -1a + 2a = -4a + 15 Combine like terms: -1a + 2a = 1a 10 + 1a = -4a + 15 Reorder the terms: 10 + 1a = 15 + -4a Solving 10 + 1a = 15 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 10 + 1a + 4a = 15 + -4a + 4a Combine like terms: 1a + 4a = 5a 10 + 5a = 15 + -4a + 4a Combine like terms: -4a + 4a = 0 10 + 5a = 15 + 0 10 + 5a = 15 Add '-10' to each side of the equation. 10 + -10 + 5a = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 5a = 15 + -10 5a = 15 + -10 Combine like terms: 15 + -10 = 5 5a = 5 Divide each side by '5'. a = 1 Simplifying a = 1
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