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Simplifying -4(a + -2b) + 3(5 + -1a) = 4 (a * -4 + -2b * -4) + 3(5 + -1a) = 4 (-4a + 8b) + 3(5 + -1a) = 4 -4a + 8b + (5 * 3 + -1a * 3) = 4 -4a + 8b + (15 + -3a) = 4 Reorder the terms: 15 + -4a + -3a + 8b = 4 Combine like terms: -4a + -3a = -7a 15 + -7a + 8b = 4 Solving 15 + -7a + 8b = 4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -7a + -15 + 8b = 4 + -15 Reorder the terms: 15 + -15 + -7a + 8b = 4 + -15 Combine like terms: 15 + -15 = 0 0 + -7a + 8b = 4 + -15 -7a + 8b = 4 + -15 Combine like terms: 4 + -15 = -11 -7a + 8b = -11 Add '-8b' to each side of the equation. -7a + 8b + -8b = -11 + -8b Combine like terms: 8b + -8b = 0 -7a + 0 = -11 + -8b -7a = -11 + -8b Divide each side by '-7'. a = 1.571428571 + 1.142857143b Simplifying a = 1.571428571 + 1.142857143b
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