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Simplifying 4(11a + -9b) + -7(6a) = 0 (11a * 4 + -9b * 4) + -7(6a) = 0 (44a + -36b) + -7(6a) = 0 Remove parenthesis around (6a) 44a + -36b + -7 * 6a = 0 Multiply -7 * 6 44a + -36b + -42a = 0 Reorder the terms: 44a + -42a + -36b = 0 Combine like terms: 44a + -42a = 2a 2a + -36b = 0 Solving 2a + -36b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '36b' to each side of the equation. 2a + -36b + 36b = 0 + 36b Combine like terms: -36b + 36b = 0 2a + 0 = 0 + 36b 2a = 0 + 36b Remove the zero: 2a = 36b Divide each side by '2'. a = 18b Simplifying a = 18b
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