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Simplifying 5a + -2(4a + -5) = 7a Reorder the terms: 5a + -2(-5 + 4a) = 7a 5a + (-5 * -2 + 4a * -2) = 7a 5a + (10 + -8a) = 7a Reorder the terms: 10 + 5a + -8a = 7a Combine like terms: 5a + -8a = -3a 10 + -3a = 7a Solving 10 + -3a = 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 10 + -3a + -7a = 7a + -7a Combine like terms: -3a + -7a = -10a 10 + -10a = 7a + -7a Combine like terms: 7a + -7a = 0 10 + -10a = 0 Add '-10' to each side of the equation. 10 + -10 + -10a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -10a = 0 + -10 -10a = 0 + -10 Combine like terms: 0 + -10 = -10 -10a = -10 Divide each side by '-10'. a = 1 Simplifying a = 1
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