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Simplifying 2p + t = 300 + -1(p + t) 2p + t = 300 + (p * -1 + t * -1) 2p + t = 300 + (-1p + -1t) Solving 2p + t = 300 + -1p + -1t Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 2p + p + t = 300 + -1p + p + -1t Combine like terms: 2p + p = 3p 3p + t = 300 + -1p + p + -1t Combine like terms: -1p + p = 0 3p + t = 300 + 0 + -1t 3p + t = 300 + -1t Add '-1t' to each side of the equation. 3p + t + -1t = 300 + -1t + -1t Combine like terms: t + -1t = 0 3p + 0 = 300 + -1t + -1t 3p = 300 + -1t + -1t Combine like terms: -1t + -1t = -2t 3p = 300 + -2t Divide each side by '3'. p = 100 + -0.6666666667t Simplifying p = 100 + -0.6666666667t
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