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Simplifying 5a + -2(a + -1) = 35 + -8a Reorder the terms: 5a + -2(-1 + a) = 35 + -8a 5a + (-1 * -2 + a * -2) = 35 + -8a 5a + (2 + -2a) = 35 + -8a Reorder the terms: 2 + 5a + -2a = 35 + -8a Combine like terms: 5a + -2a = 3a 2 + 3a = 35 + -8a Solving 2 + 3a = 35 + -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. 2 + 3a + 8a = 35 + -8a + 8a Combine like terms: 3a + 8a = 11a 2 + 11a = 35 + -8a + 8a Combine like terms: -8a + 8a = 0 2 + 11a = 35 + 0 2 + 11a = 35 Add '-2' to each side of the equation. 2 + -2 + 11a = 35 + -2 Combine like terms: 2 + -2 = 0 0 + 11a = 35 + -2 11a = 35 + -2 Combine like terms: 35 + -2 = 33 11a = 33 Divide each side by '11'. a = 3 Simplifying a = 3
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