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Simplifying (-7b + 4a) + (6a + -9b) = 0 Reorder the terms: (4a + -7b) + (6a + -9b) = 0 Remove parenthesis around (4a + -7b) 4a + -7b + (6a + -9b) = 0 Remove parenthesis around (6a + -9b) 4a + -7b + 6a + -9b = 0 Reorder the terms: 4a + 6a + -7b + -9b = 0 Combine like terms: 4a + 6a = 10a 10a + -7b + -9b = 0 Combine like terms: -7b + -9b = -16b 10a + -16b = 0 Solving 10a + -16b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16b' to each side of the equation. 10a + -16b + 16b = 0 + 16b Combine like terms: -16b + 16b = 0 10a + 0 = 0 + 16b 10a = 0 + 16b Remove the zero: 10a = 16b Divide each side by '10'. a = 1.6b Simplifying a = 1.6b
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