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Simplifying 3x + 7ay + 34 = 7x + 5y + -6 Reorder the terms: 34 + 7ay + 3x = 7x + 5y + -6 Reorder the terms: 34 + 7ay + 3x = -6 + 7x + 5y Solving 34 + 7ay + 3x = -6 + 7x + 5y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + 7ay + -34 + 3x = -6 + 7x + -34 + 5y Reorder the terms: 34 + -34 + 7ay + 3x = -6 + 7x + -34 + 5y Combine like terms: 34 + -34 = 0 0 + 7ay + 3x = -6 + 7x + -34 + 5y 7ay + 3x = -6 + 7x + -34 + 5y Reorder the terms: 7ay + 3x = -6 + -34 + 7x + 5y Combine like terms: -6 + -34 = -40 7ay + 3x = -40 + 7x + 5y Add '-3x' to each side of the equation. 7ay + 3x + -3x = -40 + 7x + -3x + 5y Combine like terms: 3x + -3x = 0 7ay + 0 = -40 + 7x + -3x + 5y 7ay = -40 + 7x + -3x + 5y Combine like terms: 7x + -3x = 4x 7ay = -40 + 4x + 5y Divide each side by '7y'. a = -5.714285714y-1 + 0.5714285714xy-1 + 0.7142857143 Simplifying a = -5.714285714y-1 + 0.5714285714xy-1 + 0.7142857143 Reorder the terms: a = 0.7142857143 + 0.5714285714xy-1 + -5.714285714y-1
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