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Simplifying 12a + -7b + -1(4a + -21b) = 0 12a + -7b + (4a * -1 + -21b * -1) = 0 12a + -7b + (-4a + 21b) = 0 Reorder the terms: 12a + -4a + -7b + 21b = 0 Combine like terms: 12a + -4a = 8a 8a + -7b + 21b = 0 Combine like terms: -7b + 21b = 14b 8a + 14b = 0 Solving 8a + 14b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 8a + 14b + -14b = 0 + -14b Combine like terms: 14b + -14b = 0 8a + 0 = 0 + -14b 8a = 0 + -14b Remove the zero: 8a = -14b Divide each side by '8'. a = -1.75b Simplifying a = -1.75b
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