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Simplifying 2(a + b) + -5(2a + -1b) = 0 (a * 2 + b * 2) + -5(2a + -1b) = 0 (2a + 2b) + -5(2a + -1b) = 0 2a + 2b + (2a * -5 + -1b * -5) = 0 2a + 2b + (-10a + 5b) = 0 Reorder the terms: 2a + -10a + 2b + 5b = 0 Combine like terms: 2a + -10a = -8a -8a + 2b + 5b = 0 Combine like terms: 2b + 5b = 7b -8a + 7b = 0 Solving -8a + 7b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. -8a + 7b + -7b = 0 + -7b Combine like terms: 7b + -7b = 0 -8a + 0 = 0 + -7b -8a = 0 + -7b Remove the zero: -8a = -7b Divide each side by '-8'. a = 0.875b Simplifying a = 0.875b
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