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Simplifying 4(4ax + y) = 5ax + -2y (4ax * 4 + y * 4) = 5ax + -2y (16ax + 4y) = 5ax + -2y Solving 16ax + 4y = 5ax + -2y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5ax' to each side of the equation. 16ax + -5ax + 4y = 5ax + -5ax + -2y Combine like terms: 16ax + -5ax = 11ax 11ax + 4y = 5ax + -5ax + -2y Combine like terms: 5ax + -5ax = 0 11ax + 4y = 0 + -2y 11ax + 4y = -2y Add '-4y' to each side of the equation. 11ax + 4y + -4y = -2y + -4y Combine like terms: 4y + -4y = 0 11ax + 0 = -2y + -4y 11ax = -2y + -4y Combine like terms: -2y + -4y = -6y 11ax = -6y Divide each side by '11x'. a = -0.5454545455x-1y Simplifying a = -0.5454545455x-1y
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