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Simplifying 3(6a + 2b) + -4(a + 7b) = 0 (6a * 3 + 2b * 3) + -4(a + 7b) = 0 (18a + 6b) + -4(a + 7b) = 0 18a + 6b + (a * -4 + 7b * -4) = 0 18a + 6b + (-4a + -28b) = 0 Reorder the terms: 18a + -4a + 6b + -28b = 0 Combine like terms: 18a + -4a = 14a 14a + 6b + -28b = 0 Combine like terms: 6b + -28b = -22b 14a + -22b = 0 Solving 14a + -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. 14a + -22b + 22b = 0 + 22b Combine like terms: -22b + 22b = 0 14a + 0 = 0 + 22b 14a = 0 + 22b Remove the zero: 14a = 22b Divide each side by '14'. a = 1.571428571b Simplifying a = 1.571428571b
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