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Simplifying 5(a + -4b) + 2(2a + 2b) = 0 (a * 5 + -4b * 5) + 2(2a + 2b) = 0 (5a + -20b) + 2(2a + 2b) = 0 5a + -20b + (2a * 2 + 2b * 2) = 0 5a + -20b + (4a + 4b) = 0 Reorder the terms: 5a + 4a + -20b + 4b = 0 Combine like terms: 5a + 4a = 9a 9a + -20b + 4b = 0 Combine like terms: -20b + 4b = -16b 9a + -16b = 0 Solving 9a + -16b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16b' to each side of the equation. 9a + -16b + 16b = 0 + 16b Combine like terms: -16b + 16b = 0 9a + 0 = 0 + 16b 9a = 0 + 16b Remove the zero: 9a = 16b Divide each side by '9'. a = 1.777777778b Simplifying a = 1.777777778b
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