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Simplifying 0.04x + 0.08(1600 + -1p) = 8 0.04x + (1600 * 0.08 + -1p * 0.08) = 8 0.04x + (128 + -0.08p) = 8 Reorder the terms: 128 + -0.08p + 0.04x = 8 Solving 128 + -0.08p + 0.04x = 8 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-128' to each side of the equation. 128 + -0.08p + -128 + 0.04x = 8 + -128 Reorder the terms: 128 + -128 + -0.08p + 0.04x = 8 + -128 Combine like terms: 128 + -128 = 0 0 + -0.08p + 0.04x = 8 + -128 -0.08p + 0.04x = 8 + -128 Combine like terms: 8 + -128 = -120 -0.08p + 0.04x = -120 Add '-0.04x' to each side of the equation. -0.08p + 0.04x + -0.04x = -120 + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.08p + 0.00 = -120 + -0.04x -0.08p = -120 + -0.04x Divide each side by '-0.08'. p = 1500 + 0.5x Simplifying p = 1500 + 0.5x
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