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