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Simplifying 2a + 2b + -8(4a + -5b) = 0 2a + 2b + (4a * -8 + -5b * -8) = 0 2a + 2b + (-32a + 40b) = 0 Reorder the terms: 2a + -32a + 2b + 40b = 0 Combine like terms: 2a + -32a = -30a -30a + 2b + 40b = 0 Combine like terms: 2b + 40b = 42b -30a + 42b = 0 Solving -30a + 42b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42b' to each side of the equation. -30a + 42b + -42b = 0 + -42b Combine like terms: 42b + -42b = 0 -30a + 0 = 0 + -42b -30a = 0 + -42b Remove the zero: -30a = -42b Divide each side by '-30'. a = 1.4b Simplifying a = 1.4b
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