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Simplifying 4(1 + -1a) + -2a = 3a + 1 (1 * 4 + -1a * 4) + -2a = 3a + 1 (4 + -4a) + -2a = 3a + 1 Combine like terms: -4a + -2a = -6a 4 + -6a = 3a + 1 Reorder the terms: 4 + -6a = 1 + 3a Solving 4 + -6a = 1 + 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. 4 + -6a + -3a = 1 + 3a + -3a Combine like terms: -6a + -3a = -9a 4 + -9a = 1 + 3a + -3a Combine like terms: 3a + -3a = 0 4 + -9a = 1 + 0 4 + -9a = 1 Add '-4' to each side of the equation. 4 + -4 + -9a = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -9a = 1 + -4 -9a = 1 + -4 Combine like terms: 1 + -4 = -3 -9a = -3 Divide each side by '-9'. a = 0.3333333333 Simplifying a = 0.3333333333
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