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Simplifying 1 + -4p = -17 + 9p + 5p Combine like terms: 9p + 5p = 14p 1 + -4p = -17 + 14p Solving 1 + -4p = -17 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. 1 + -4p + -14p = -17 + 14p + -14p Combine like terms: -4p + -14p = -18p 1 + -18p = -17 + 14p + -14p Combine like terms: 14p + -14p = 0 1 + -18p = -17 + 0 1 + -18p = -17 Add '-1' to each side of the equation. 1 + -1 + -18p = -17 + -1 Combine like terms: 1 + -1 = 0 0 + -18p = -17 + -1 -18p = -17 + -1 Combine like terms: -17 + -1 = -18 -18p = -18 Divide each side by '-18'. p = 1 Simplifying p = 1
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