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Simplifying 3a + 9b + -7(7a + -7b) = 0 3a + 9b + (7a * -7 + -7b * -7) = 0 3a + 9b + (-49a + 49b) = 0 Reorder the terms: 3a + -49a + 9b + 49b = 0 Combine like terms: 3a + -49a = -46a -46a + 9b + 49b = 0 Combine like terms: 9b + 49b = 58b -46a + 58b = 0 Solving -46a + 58b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-58b' to each side of the equation. -46a + 58b + -58b = 0 + -58b Combine like terms: 58b + -58b = 0 -46a + 0 = 0 + -58b -46a = 0 + -58b Remove the zero: -46a = -58b Divide each side by '-46'. a = 1.260869565b Simplifying a = 1.260869565b
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