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Simplifying 4(2a + -1) + 5(4 + -2a) + -3a = -4(5 + 2a) + -4 Reorder the terms: 4(-1 + 2a) + 5(4 + -2a) + -3a = -4(5 + 2a) + -4 (-1 * 4 + 2a * 4) + 5(4 + -2a) + -3a = -4(5 + 2a) + -4 (-4 + 8a) + 5(4 + -2a) + -3a = -4(5 + 2a) + -4 -4 + 8a + (4 * 5 + -2a * 5) + -3a = -4(5 + 2a) + -4 -4 + 8a + (20 + -10a) + -3a = -4(5 + 2a) + -4 Reorder the terms: -4 + 20 + 8a + -10a + -3a = -4(5 + 2a) + -4 Combine like terms: -4 + 20 = 16 16 + 8a + -10a + -3a = -4(5 + 2a) + -4 Combine like terms: 8a + -10a = -2a 16 + -2a + -3a = -4(5 + 2a) + -4 Combine like terms: -2a + -3a = -5a 16 + -5a = -4(5 + 2a) + -4 16 + -5a = (5 * -4 + 2a * -4) + -4 16 + -5a = (-20 + -8a) + -4 Reorder the terms: 16 + -5a = -20 + -4 + -8a Combine like terms: -20 + -4 = -24 16 + -5a = -24 + -8a Solving 16 + -5a = -24 + -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. 16 + -5a + 8a = -24 + -8a + 8a Combine like terms: -5a + 8a = 3a 16 + 3a = -24 + -8a + 8a Combine like terms: -8a + 8a = 0 16 + 3a = -24 + 0 16 + 3a = -24 Add '-16' to each side of the equation. 16 + -16 + 3a = -24 + -16 Combine like terms: 16 + -16 = 0 0 + 3a = -24 + -16 3a = -24 + -16 Combine like terms: -24 + -16 = -40 3a = -40 Divide each side by '3'. a = -13.33333333 Simplifying a = -13.33333333
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