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Simplifying 7a + -5(a + -2) + -1a = 4a + -2(a + -5) Reorder the terms: 7a + -5(-2 + a) + -1a = 4a + -2(a + -5) 7a + (-2 * -5 + a * -5) + -1a = 4a + -2(a + -5) 7a + (10 + -5a) + -1a = 4a + -2(a + -5) Reorder the terms: 10 + 7a + -5a + -1a = 4a + -2(a + -5) Combine like terms: 7a + -5a = 2a 10 + 2a + -1a = 4a + -2(a + -5) Combine like terms: 2a + -1a = 1a 10 + 1a = 4a + -2(a + -5) Reorder the terms: 10 + 1a = 4a + -2(-5 + a) 10 + 1a = 4a + (-5 * -2 + a * -2) 10 + 1a = 4a + (10 + -2a) Reorder the terms: 10 + 1a = 10 + 4a + -2a Combine like terms: 4a + -2a = 2a 10 + 1a = 10 + 2a Add '-10' to each side of the equation. 10 + -10 + 1a = 10 + -10 + 2a Combine like terms: 10 + -10 = 0 0 + 1a = 10 + -10 + 2a 1a = 10 + -10 + 2a Combine like terms: 10 + -10 = 0 1a = 0 + 2a 1a = 2a Solving 1a = 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. 1a + -2a = 2a + -2a Combine like terms: 1a + -2a = -1a -1a = 2a + -2a Combine like terms: 2a + -2a = 0 -1a = 0 Divide each side by '-1'. a = 0 Simplifying a = 0
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