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Simplifying z = (8x + -5y)(3x + 4y) Multiply (8x + -5y) * (3x + 4y) z = (8x * (3x + 4y) + -5y * (3x + 4y)) z = ((3x * 8x + 4y * 8x) + -5y * (3x + 4y)) Reorder the terms: z = ((32xy + 24x2) + -5y * (3x + 4y)) z = ((32xy + 24x2) + -5y * (3x + 4y)) z = (32xy + 24x2 + (3x * -5y + 4y * -5y)) z = (32xy + 24x2 + (-15xy + -20y2)) Reorder the terms: z = (32xy + -15xy + 24x2 + -20y2) Combine like terms: 32xy + -15xy = 17xy z = (17xy + 24x2 + -20y2) Solving z = 17xy + 24x2 + -20y2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Simplifying z = 17xy + 24x2 + -20y2
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