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Simplifying 1975 = 25(p + 20) Reorder the terms: 1975 = 25(20 + p) 1975 = (20 * 25 + p * 25) 1975 = (500 + 25p) Solving 1975 = 500 + 25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25p' to each side of the equation. 1975 + -25p = 500 + 25p + -25p Combine like terms: 25p + -25p = 0 1975 + -25p = 500 + 0 1975 + -25p = 500 Add '-1975' to each side of the equation. 1975 + -1975 + -25p = 500 + -1975 Combine like terms: 1975 + -1975 = 0 0 + -25p = 500 + -1975 -25p = 500 + -1975 Combine like terms: 500 + -1975 = -1475 -25p = -1475 Divide each side by '-25'. p = 59 Simplifying p = 59
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