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Simplifying 4(a + -5b) + -1(a + 5b) + 8b = 0 (a * 4 + -5b * 4) + -1(a + 5b) + 8b = 0 (4a + -20b) + -1(a + 5b) + 8b = 0 4a + -20b + (a * -1 + 5b * -1) + 8b = 0 4a + -20b + (-1a + -5b) + 8b = 0 Reorder the terms: 4a + -1a + -20b + -5b + 8b = 0 Combine like terms: 4a + -1a = 3a 3a + -20b + -5b + 8b = 0 Combine like terms: -20b + -5b = -25b 3a + -25b + 8b = 0 Combine like terms: -25b + 8b = -17b 3a + -17b = 0 Solving 3a + -17b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17b' to each side of the equation. 3a + -17b + 17b = 0 + 17b Combine like terms: -17b + 17b = 0 3a + 0 = 0 + 17b 3a = 0 + 17b Remove the zero: 3a = 17b Divide each side by '3'. a = 5.666666667b Simplifying a = 5.666666667b
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