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Simplifying 5[-5a + 3(ab + 5)] + -3ab + 5(-4ab + 3a + 2) = 0 Reorder the terms: 5[-5a + 3(5 + ab)] + -3ab + 5(-4ab + 3a + 2) = 0 5[-5a + (5 * 3 + ab * 3)] + -3ab + 5(-4ab + 3a + 2) = 0 5[-5a + (15 + 3ab)] + -3ab + 5(-4ab + 3a + 2) = 0 Reorder the terms: 5[15 + -5a + 3ab] + -3ab + 5(-4ab + 3a + 2) = 0 [15 * 5 + -5a * 5 + 3ab * 5] + -3ab + 5(-4ab + 3a + 2) = 0 [75 + -25a + 15ab] + -3ab + 5(-4ab + 3a + 2) = 0 Reorder the terms: 75 + -25a + 15ab + -3ab + 5(2 + 3a + -4ab) = 0 75 + -25a + 15ab + -3ab + (2 * 5 + 3a * 5 + -4ab * 5) = 0 75 + -25a + 15ab + -3ab + (10 + 15a + -20ab) = 0 Reorder the terms: 75 + 10 + -25a + 15a + 15ab + -3ab + -20ab = 0 Combine like terms: 75 + 10 = 85 85 + -25a + 15a + 15ab + -3ab + -20ab = 0 Combine like terms: -25a + 15a = -10a 85 + -10a + 15ab + -3ab + -20ab = 0 Combine like terms: 15ab + -3ab = 12ab 85 + -10a + 12ab + -20ab = 0 Combine like terms: 12ab + -20ab = -8ab 85 + -10a + -8ab = 0 Solving 85 + -10a + -8ab = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -10a + -85 + -8ab = 0 + -85 Reorder the terms: 85 + -85 + -10a + -8ab = 0 + -85 Combine like terms: 85 + -85 = 0 0 + -10a + -8ab = 0 + -85 -10a + -8ab = 0 + -85 Combine like terms: 0 + -85 = -85 -10a + -8ab = -85 Reorder the terms: 85 + -10a + -8ab = -85 + 85 Combine like terms: -85 + 85 = 0 85 + -10a + -8ab = 0 The solution to this equation could not be determined.
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