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Simplifying 4(2a + -1) + 2(4 + -1a) + 5a = 4(3 + 2a) + -3 Reorder the terms: 4(-1 + 2a) + 2(4 + -1a) + 5a = 4(3 + 2a) + -3 (-1 * 4 + 2a * 4) + 2(4 + -1a) + 5a = 4(3 + 2a) + -3 (-4 + 8a) + 2(4 + -1a) + 5a = 4(3 + 2a) + -3 -4 + 8a + (4 * 2 + -1a * 2) + 5a = 4(3 + 2a) + -3 -4 + 8a + (8 + -2a) + 5a = 4(3 + 2a) + -3 Reorder the terms: -4 + 8 + 8a + -2a + 5a = 4(3 + 2a) + -3 Combine like terms: -4 + 8 = 4 4 + 8a + -2a + 5a = 4(3 + 2a) + -3 Combine like terms: 8a + -2a = 6a 4 + 6a + 5a = 4(3 + 2a) + -3 Combine like terms: 6a + 5a = 11a 4 + 11a = 4(3 + 2a) + -3 4 + 11a = (3 * 4 + 2a * 4) + -3 4 + 11a = (12 + 8a) + -3 Reorder the terms: 4 + 11a = 12 + -3 + 8a Combine like terms: 12 + -3 = 9 4 + 11a = 9 + 8a Solving 4 + 11a = 9 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 4 + 11a + -8a = 9 + 8a + -8a Combine like terms: 11a + -8a = 3a 4 + 3a = 9 + 8a + -8a Combine like terms: 8a + -8a = 0 4 + 3a = 9 + 0 4 + 3a = 9 Add '-4' to each side of the equation. 4 + -4 + 3a = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 3a = 9 + -4 3a = 9 + -4 Combine like terms: 9 + -4 = 5 3a = 5 Divide each side by '3'. a = 1.666666667 Simplifying a = 1.666666667
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