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Simplifying (4a + -3a) + -1(-1a + -2a + 1) = 0 Combine like terms: 4a + -3a = 1a (1a) + -1(-1a + -2a + 1) = 0 (1a) + -1(-1a + -2a + 1) = 0 Reorder the terms: (1a) + -1(1 + -1a + -2a) = 0 Combine like terms: -1a + -2a = -3a (1a) + -1(1 + -3a) = 0 (1a) + (1 * -1 + -3a * -1) = 0 (1a) + (-1 + 3a) = 0 Reorder the terms: -1 + (1a) + 3a = 0 Combine like terms: (1a) + 3a = 4a -1 + 4a = 0 Solving -1 + 4a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4a = 0 + 1 4a = 0 + 1 Combine like terms: 0 + 1 = 1 4a = 1 Divide each side by '4'. a = 0.25 Simplifying a = 0.25
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