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Simplifying 2a + 6b + -7(7a + -9b) = 0 2a + 6b + (7a * -7 + -9b * -7) = 0 2a + 6b + (-49a + 63b) = 0 Reorder the terms: 2a + -49a + 6b + 63b = 0 Combine like terms: 2a + -49a = -47a -47a + 6b + 63b = 0 Combine like terms: 6b + 63b = 69b -47a + 69b = 0 Solving -47a + 69b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-69b' to each side of the equation. -47a + 69b + -69b = 0 + -69b Combine like terms: 69b + -69b = 0 -47a + 0 = 0 + -69b -47a = 0 + -69b Remove the zero: -47a = -69b Divide each side by '-47'. a = 1.468085106b Simplifying a = 1.468085106b
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