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Simplifying 8(4a + 2b) + -4(a + 5b) = 0 (4a * 8 + 2b * 8) + -4(a + 5b) = 0 (32a + 16b) + -4(a + 5b) = 0 32a + 16b + (a * -4 + 5b * -4) = 0 32a + 16b + (-4a + -20b) = 0 Reorder the terms: 32a + -4a + 16b + -20b = 0 Combine like terms: 32a + -4a = 28a 28a + 16b + -20b = 0 Combine like terms: 16b + -20b = -4b 28a + -4b = 0 Solving 28a + -4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 28a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 28a + 0 = 0 + 4b 28a = 0 + 4b Remove the zero: 28a = 4b Divide each side by '28'. a = 0.1428571429b Simplifying a = 0.1428571429b
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