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Simplifying 7a + -5(a + -2) + -1a = 4 + -2(a + -5) + -1a Reorder the terms: 7a + -5(-2 + a) + -1a = 4 + -2(a + -5) + -1a 7a + (-2 * -5 + a * -5) + -1a = 4 + -2(a + -5) + -1a 7a + (10 + -5a) + -1a = 4 + -2(a + -5) + -1a Reorder the terms: 10 + 7a + -5a + -1a = 4 + -2(a + -5) + -1a Combine like terms: 7a + -5a = 2a 10 + 2a + -1a = 4 + -2(a + -5) + -1a Combine like terms: 2a + -1a = 1a 10 + 1a = 4 + -2(a + -5) + -1a Reorder the terms: 10 + 1a = 4 + -2(-5 + a) + -1a 10 + 1a = 4 + (-5 * -2 + a * -2) + -1a 10 + 1a = 4 + (10 + -2a) + -1a Combine like terms: 4 + 10 = 14 10 + 1a = 14 + -2a + -1a Combine like terms: -2a + -1a = -3a 10 + 1a = 14 + -3a Solving 10 + 1a = 14 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 10 + 1a + 3a = 14 + -3a + 3a Combine like terms: 1a + 3a = 4a 10 + 4a = 14 + -3a + 3a Combine like terms: -3a + 3a = 0 10 + 4a = 14 + 0 10 + 4a = 14 Add '-10' to each side of the equation. 10 + -10 + 4a = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 4a = 14 + -10 4a = 14 + -10 Combine like terms: 14 + -10 = 4 4a = 4 Divide each side by '4'. a = 1 Simplifying a = 1
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