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Simplifying f(x) = 5y + -2(7y2 + 4y + -8) + 9y2 Multiply f * x fx = 5y + -2(7y2 + 4y + -8) + 9y2 Reorder the terms: fx = 5y + -2(-8 + 4y + 7y2) + 9y2 fx = 5y + (-8 * -2 + 4y * -2 + 7y2 * -2) + 9y2 fx = 5y + (16 + -8y + -14y2) + 9y2 Reorder the terms: fx = 16 + 5y + -8y + -14y2 + 9y2 Combine like terms: 5y + -8y = -3y fx = 16 + -3y + -14y2 + 9y2 Combine like terms: -14y2 + 9y2 = -5y2 fx = 16 + -3y + -5y2 Solving fx = 16 + -3y + -5y2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 16x-1 + -3x-1y + -5x-1y2 Simplifying f = 16x-1 + -3x-1y + -5x-1y2
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