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Simplifying 5a + -8(1 + -5a) = -8(a + 1) 5a + (1 * -8 + -5a * -8) = -8(a + 1) 5a + (-8 + 40a) = -8(a + 1) Reorder the terms: -8 + 5a + 40a = -8(a + 1) Combine like terms: 5a + 40a = 45a -8 + 45a = -8(a + 1) Reorder the terms: -8 + 45a = -8(1 + a) -8 + 45a = (1 * -8 + a * -8) -8 + 45a = (-8 + -8a) Add '8' to each side of the equation. -8 + 8 + 45a = -8 + 8 + -8a Combine like terms: -8 + 8 = 0 0 + 45a = -8 + 8 + -8a 45a = -8 + 8 + -8a Combine like terms: -8 + 8 = 0 45a = 0 + -8a 45a = -8a Solving 45a = -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 45a + 8a = -8a + 8a Combine like terms: 45a + 8a = 53a 53a = -8a + 8a Combine like terms: -8a + 8a = 0 53a = 0 Divide each side by '53'. a = 0 Simplifying a = 0
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