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Simplifying -2(7a + -3b) + 4(2a + 4b) = 0 (7a * -2 + -3b * -2) + 4(2a + 4b) = 0 (-14a + 6b) + 4(2a + 4b) = 0 -14a + 6b + (2a * 4 + 4b * 4) = 0 -14a + 6b + (8a + 16b) = 0 Reorder the terms: -14a + 8a + 6b + 16b = 0 Combine like terms: -14a + 8a = -6a -6a + 6b + 16b = 0 Combine like terms: 6b + 16b = 22b -6a + 22b = 0 Solving -6a + 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. -6a + 22b + -22b = 0 + -22b Combine like terms: 22b + -22b = 0 -6a + 0 = 0 + -22b -6a = 0 + -22b Remove the zero: -6a = -22b Divide each side by '-6'. a = 3.666666667b Simplifying a = 3.666666667b
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