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Simplifying 2(3p + -1t) + -1(-4p + t) = 0 (3p * 2 + -1t * 2) + -1(-4p + t) = 0 (6p + -2t) + -1(-4p + t) = 0 6p + -2t + (-4p * -1 + t * -1) = 0 6p + -2t + (4p + -1t) = 0 Reorder the terms: 6p + 4p + -2t + -1t = 0 Combine like terms: 6p + 4p = 10p 10p + -2t + -1t = 0 Combine like terms: -2t + -1t = -3t 10p + -3t = 0 Solving 10p + -3t = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3t' to each side of the equation. 10p + -3t + 3t = 0 + 3t Combine like terms: -3t + 3t = 0 10p + 0 = 0 + 3t 10p = 0 + 3t Remove the zero: 10p = 3t Divide each side by '10'. p = 0.3t Simplifying p = 0.3t
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