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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 = -22a -22a + 6b + 16b = 0 Combine like terms: 6b + 16b = 22b -22a + 22b = 0 Solving -22a + 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. -22a + 22b + -22b = 0 + -22b Combine like terms: 22b + -22b = 0 -22a + 0 = 0 + -22b -22a = 0 + -22b Remove the zero: -22a = -22b Divide each side by '-22'. a = b Simplifying a = b
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