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Simplifying 4(20 + -4p) + -0.75(4 + -16p) = 0 (20 * 4 + -4p * 4) + -0.75(4 + -16p) = 0 (80 + -16p) + -0.75(4 + -16p) = 0 80 + -16p + (4 * -0.75 + -16p * -0.75) = 0 80 + -16p + (-3 + 12p) = 0 Reorder the terms: 80 + -3 + -16p + 12p = 0 Combine like terms: 80 + -3 = 77 77 + -16p + 12p = 0 Combine like terms: -16p + 12p = -4p 77 + -4p = 0 Solving 77 + -4p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + -4p = 0 + -77 Combine like terms: 77 + -77 = 0 0 + -4p = 0 + -77 -4p = 0 + -77 Combine like terms: 0 + -77 = -77 -4p = -77 Divide each side by '-4'. p = 19.25 Simplifying p = 19.25
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