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Simplifying 3p + -36 = 14 + 18p + -36 + -45 + -32p + 500 Reorder the terms: -36 + 3p = 14 + 18p + -36 + -45 + -32p + 500 Reorder the terms: -36 + 3p = 14 + -36 + -45 + 500 + 18p + -32p Combine like terms: 14 + -36 = -22 -36 + 3p = -22 + -45 + 500 + 18p + -32p Combine like terms: -22 + -45 = -67 -36 + 3p = -67 + 500 + 18p + -32p Combine like terms: -67 + 500 = 433 -36 + 3p = 433 + 18p + -32p Combine like terms: 18p + -32p = -14p -36 + 3p = 433 + -14p Solving -36 + 3p = 433 + -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. -36 + 3p + 14p = 433 + -14p + 14p Combine like terms: 3p + 14p = 17p -36 + 17p = 433 + -14p + 14p Combine like terms: -14p + 14p = 0 -36 + 17p = 433 + 0 -36 + 17p = 433 Add '36' to each side of the equation. -36 + 36 + 17p = 433 + 36 Combine like terms: -36 + 36 = 0 0 + 17p = 433 + 36 17p = 433 + 36 Combine like terms: 433 + 36 = 469 17p = 469 Divide each side by '17'. p = 27.58823529 Simplifying p = 27.58823529
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