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Simplifying 200 = 1.5(p + -50) + -100 Reorder the terms: 200 = 1.5(-50 + p) + -100 200 = (-50 * 1.5 + p * 1.5) + -100 200 = (-75 + 1.5p) + -100 Reorder the terms: 200 = -75 + -100 + 1.5p Combine like terms: -75 + -100 = -175 200 = -175 + 1.5p Solving 200 = -175 + 1.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.5p' to each side of the equation. 200 + -1.5p = -175 + 1.5p + -1.5p Combine like terms: 1.5p + -1.5p = 0.0 200 + -1.5p = -175 + 0.0 200 + -1.5p = -175 Add '-200' to each side of the equation. 200 + -200 + -1.5p = -175 + -200 Combine like terms: 200 + -200 = 0 0 + -1.5p = -175 + -200 -1.5p = -175 + -200 Combine like terms: -175 + -200 = -375 -1.5p = -375 Divide each side by '-1.5'. p = 250 Simplifying p = 250
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