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Simplifying 8(a + 2b) + 6(2a + b) = 0 (a * 8 + 2b * 8) + 6(2a + b) = 0 (8a + 16b) + 6(2a + b) = 0 8a + 16b + (2a * 6 + b * 6) = 0 8a + 16b + (12a + 6b) = 0 Reorder the terms: 8a + 12a + 16b + 6b = 0 Combine like terms: 8a + 12a = 20a 20a + 16b + 6b = 0 Combine like terms: 16b + 6b = 22b 20a + 22b = 0 Solving 20a + 22b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22b' to each side of the equation. 20a + 22b + -22b = 0 + -22b Combine like terms: 22b + -22b = 0 20a + 0 = 0 + -22b 20a = 0 + -22b Remove the zero: 20a = -22b Divide each side by '20'. a = -1.1b Simplifying a = -1.1b
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