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Simplifying 2a + -1(3 + -2a) = 5 + -2(1 + -1a) 2a + (3 * -1 + -2a * -1) = 5 + -2(1 + -1a) 2a + (-3 + 2a) = 5 + -2(1 + -1a) Reorder the terms: -3 + 2a + 2a = 5 + -2(1 + -1a) Combine like terms: 2a + 2a = 4a -3 + 4a = 5 + -2(1 + -1a) -3 + 4a = 5 + (1 * -2 + -1a * -2) -3 + 4a = 5 + (-2 + 2a) Combine like terms: 5 + -2 = 3 -3 + 4a = 3 + 2a Solving -3 + 4a = 3 + 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. -3 + 4a + -2a = 3 + 2a + -2a Combine like terms: 4a + -2a = 2a -3 + 2a = 3 + 2a + -2a Combine like terms: 2a + -2a = 0 -3 + 2a = 3 + 0 -3 + 2a = 3 Add '3' to each side of the equation. -3 + 3 + 2a = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 2a = 3 + 3 2a = 3 + 3 Combine like terms: 3 + 3 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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