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Simplifying 5(4a + -1b) + -8(2b + -2a) = 0 (4a * 5 + -1b * 5) + -8(2b + -2a) = 0 (20a + -5b) + -8(2b + -2a) = 0 Reorder the terms: 20a + -5b + -8(-2a + 2b) = 0 20a + -5b + (-2a * -8 + 2b * -8) = 0 20a + -5b + (16a + -16b) = 0 Reorder the terms: 20a + 16a + -5b + -16b = 0 Combine like terms: 20a + 16a = 36a 36a + -5b + -16b = 0 Combine like terms: -5b + -16b = -21b 36a + -21b = 0 Solving 36a + -21b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21b' to each side of the equation. 36a + -21b + 21b = 0 + 21b Combine like terms: -21b + 21b = 0 36a + 0 = 0 + 21b 36a = 0 + 21b Remove the zero: 36a = 21b Divide each side by '36'. a = 0.5833333333b Simplifying a = 0.5833333333b
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