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Simplifying 3x + -4a = 5a + -6b Reorder the terms: -4a + 3x = 5a + -6b Solving -4a + 3x = 5a + -6b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -4a + -5a + 3x = 5a + -5a + -6b Combine like terms: -4a + -5a = -9a -9a + 3x = 5a + -5a + -6b Combine like terms: 5a + -5a = 0 -9a + 3x = 0 + -6b -9a + 3x = -6b Add '-3x' to each side of the equation. -9a + 3x + -3x = -6b + -3x Combine like terms: 3x + -3x = 0 -9a + 0 = -6b + -3x -9a = -6b + -3x Divide each side by '-9'. a = 0.6666666667b + 0.3333333333x Simplifying a = 0.6666666667b + 0.3333333333x
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