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Simplifying 4(a + -7b) + -1(a + 7b) + 2b = 0 (a * 4 + -7b * 4) + -1(a + 7b) + 2b = 0 (4a + -28b) + -1(a + 7b) + 2b = 0 4a + -28b + (a * -1 + 7b * -1) + 2b = 0 4a + -28b + (-1a + -7b) + 2b = 0 Reorder the terms: 4a + -1a + -28b + -7b + 2b = 0 Combine like terms: 4a + -1a = 3a 3a + -28b + -7b + 2b = 0 Combine like terms: -28b + -7b = -35b 3a + -35b + 2b = 0 Combine like terms: -35b + 2b = -33b 3a + -33b = 0 Solving 3a + -33b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '33b' to each side of the equation. 3a + -33b + 33b = 0 + 33b Combine like terms: -33b + 33b = 0 3a + 0 = 0 + 33b 3a = 0 + 33b Remove the zero: 3a = 33b Divide each side by '3'. a = 11b Simplifying a = 11b
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