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Simplifying 51 = p + q * 50 + r * 2500 Reorder the terms for easier multiplication: 51 = p + 50q + r * 2500 Reorder the terms for easier multiplication: 51 = p + 50q + 2500r Solving 51 = p + 50q + 2500r Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 51 + -1p = p + 50q + -1p + 2500r Reorder the terms: 51 + -1p = p + -1p + 50q + 2500r Combine like terms: p + -1p = 0 51 + -1p = 0 + 50q + 2500r 51 + -1p = 50q + 2500r Add '-51' to each side of the equation. 51 + -51 + -1p = 50q + -51 + 2500r Combine like terms: 51 + -51 = 0 0 + -1p = 50q + -51 + 2500r -1p = 50q + -51 + 2500r Reorder the terms: -1p = -51 + 50q + 2500r Divide each side by '-1'. p = 51 + -50q + -2500r Simplifying p = 51 + -50q + -2500r
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