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Simplifying 3a + 7b + -5(9a + -9b) = 0 3a + 7b + (9a * -5 + -9b * -5) = 0 3a + 7b + (-45a + 45b) = 0 Reorder the terms: 3a + -45a + 7b + 45b = 0 Combine like terms: 3a + -45a = -42a -42a + 7b + 45b = 0 Combine like terms: 7b + 45b = 52b -42a + 52b = 0 Solving -42a + 52b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-52b' to each side of the equation. -42a + 52b + -52b = 0 + -52b Combine like terms: 52b + -52b = 0 -42a + 0 = 0 + -52b -42a = 0 + -52b Remove the zero: -42a = -52b Divide each side by '-42'. a = 1.238095238b Simplifying a = 1.238095238b
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