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Simplifying 7(2a + -4b) + -3(4a + -2b) = 0 (2a * 7 + -4b * 7) + -3(4a + -2b) = 0 (14a + -28b) + -3(4a + -2b) = 0 14a + -28b + (4a * -3 + -2b * -3) = 0 14a + -28b + (-12a + 6b) = 0 Reorder the terms: 14a + -12a + -28b + 6b = 0 Combine like terms: 14a + -12a = 2a 2a + -28b + 6b = 0 Combine like terms: -28b + 6b = -22b 2a + -22b = 0 Solving 2a + -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. 2a + -22b + 22b = 0 + 22b Combine like terms: -22b + 22b = 0 2a + 0 = 0 + 22b 2a = 0 + 22b Remove the zero: 2a = 22b Divide each side by '2'. a = 11b Simplifying a = 11b
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