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Simplifying 5(2a + -2b) + 4(2a + 4b) = 0 (2a * 5 + -2b * 5) + 4(2a + 4b) = 0 (10a + -10b) + 4(2a + 4b) = 0 10a + -10b + (2a * 4 + 4b * 4) = 0 10a + -10b + (8a + 16b) = 0 Reorder the terms: 10a + 8a + -10b + 16b = 0 Combine like terms: 10a + 8a = 18a 18a + -10b + 16b = 0 Combine like terms: -10b + 16b = 6b 18a + 6b = 0 Solving 18a + 6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 18a + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 18a + 0 = 0 + -6b 18a = 0 + -6b Remove the zero: 18a = -6b Divide each side by '18'. a = -0.3333333333b Simplifying a = -0.3333333333b
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