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Simplifying 163 = 4(1 + 5p) + -1 163 = (1 * 4 + 5p * 4) + -1 163 = (4 + 20p) + -1 Reorder the terms: 163 = 4 + -1 + 20p Combine like terms: 4 + -1 = 3 163 = 3 + 20p Solving 163 = 3 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. 163 + -20p = 3 + 20p + -20p Combine like terms: 20p + -20p = 0 163 + -20p = 3 + 0 163 + -20p = 3 Add '-163' to each side of the equation. 163 + -163 + -20p = 3 + -163 Combine like terms: 163 + -163 = 0 0 + -20p = 3 + -163 -20p = 3 + -163 Combine like terms: 3 + -163 = -160 -20p = -160 Divide each side by '-20'. p = 8 Simplifying p = 8
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