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Simplifying 75 = 3(-10t + -3p) + 6t Reorder the terms: 75 = 3(-3p + -10t) + 6t 75 = (-3p * 3 + -10t * 3) + 6t 75 = (-9p + -30t) + 6t Combine like terms: -30t + 6t = -24t 75 = -9p + -24t Solving 75 = -9p + -24t Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. 75 + 9p = -9p + 9p + -24t Combine like terms: -9p + 9p = 0 75 + 9p = 0 + -24t 75 + 9p = -24t Add '-75' to each side of the equation. 75 + -75 + 9p = -75 + -24t Combine like terms: 75 + -75 = 0 0 + 9p = -75 + -24t 9p = -75 + -24t Divide each side by '9'. p = -8.333333333 + -2.666666667t Simplifying p = -8.333333333 + -2.666666667t
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