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Simplifying 3(4p + -2t) = 2p + -1t (4p * 3 + -2t * 3) = 2p + -1t (12p + -6t) = 2p + -1t Solving 12p + -6t = 2p + -1t Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 12p + -2p + -6t = 2p + -2p + -1t Combine like terms: 12p + -2p = 10p 10p + -6t = 2p + -2p + -1t Combine like terms: 2p + -2p = 0 10p + -6t = 0 + -1t 10p + -6t = -1t Add '6t' to each side of the equation. 10p + -6t + 6t = -1t + 6t Combine like terms: -6t + 6t = 0 10p + 0 = -1t + 6t 10p = -1t + 6t Combine like terms: -1t + 6t = 5t 10p = 5t Divide each side by '10'. p = 0.5t Simplifying p = 0.5t
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