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Simplifying -4(3a + -2) + 4(5 + -1a) = 0 Reorder the terms: -4(-2 + 3a) + 4(5 + -1a) = 0 (-2 * -4 + 3a * -4) + 4(5 + -1a) = 0 (8 + -12a) + 4(5 + -1a) = 0 8 + -12a + (5 * 4 + -1a * 4) = 0 8 + -12a + (20 + -4a) = 0 Reorder the terms: 8 + 20 + -12a + -4a = 0 Combine like terms: 8 + 20 = 28 28 + -12a + -4a = 0 Combine like terms: -12a + -4a = -16a 28 + -16a = 0 Solving 28 + -16a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -16a = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -16a = 0 + -28 -16a = 0 + -28 Combine like terms: 0 + -28 = -28 -16a = -28 Divide each side by '-16'. a = 1.75 Simplifying a = 1.75
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