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Simplifying 5 + -1(-2a + 3) + 4(1 + -1a) = 0 Reorder the terms: 5 + -1(3 + -2a) + 4(1 + -1a) = 0 5 + (3 * -1 + -2a * -1) + 4(1 + -1a) = 0 5 + (-3 + 2a) + 4(1 + -1a) = 0 5 + -3 + 2a + (1 * 4 + -1a * 4) = 0 5 + -3 + 2a + (4 + -4a) = 0 Reorder the terms: 5 + -3 + 4 + 2a + -4a = 0 Combine like terms: 5 + -3 = 2 2 + 4 + 2a + -4a = 0 Combine like terms: 2 + 4 = 6 6 + 2a + -4a = 0 Combine like terms: 2a + -4a = -2a 6 + -2a = 0 Solving 6 + -2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -2a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2a = 0 + -6 -2a = 0 + -6 Combine like terms: 0 + -6 = -6 -2a = -6 Divide each side by '-2'. a = 3 Simplifying a = 3
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