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Simplifying 3(5ax + y) = 14ax + -4y (5ax * 3 + y * 3) = 14ax + -4y (15ax + 3y) = 14ax + -4y Solving 15ax + 3y = 14ax + -4y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14ax' to each side of the equation. 15ax + -14ax + 3y = 14ax + -14ax + -4y Combine like terms: 15ax + -14ax = 1ax 1ax + 3y = 14ax + -14ax + -4y Combine like terms: 14ax + -14ax = 0 1ax + 3y = 0 + -4y 1ax + 3y = -4y Add '-3y' to each side of the equation. 1ax + 3y + -3y = -4y + -3y Combine like terms: 3y + -3y = 0 1ax + 0 = -4y + -3y 1ax = -4y + -3y Combine like terms: -4y + -3y = -7y 1ax = -7y Divide each side by '1x'. a = -7x-1y Simplifying a = -7x-1y
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