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Simplifying 5(8ax + y) = 39ax + -2y (8ax * 5 + y * 5) = 39ax + -2y (40ax + 5y) = 39ax + -2y Solving 40ax + 5y = 39ax + -2y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-39ax' to each side of the equation. 40ax + -39ax + 5y = 39ax + -39ax + -2y Combine like terms: 40ax + -39ax = 1ax 1ax + 5y = 39ax + -39ax + -2y Combine like terms: 39ax + -39ax = 0 1ax + 5y = 0 + -2y 1ax + 5y = -2y Add '-5y' to each side of the equation. 1ax + 5y + -5y = -2y + -5y Combine like terms: 5y + -5y = 0 1ax + 0 = -2y + -5y 1ax = -2y + -5y Combine like terms: -2y + -5y = -7y 1ax = -7y Divide each side by '1x'. a = -7x-1y Simplifying a = -7x-1y
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