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Simplifying 3(2p + 7) = 8(-2t + 11) Reorder the terms: 3(7 + 2p) = 8(-2t + 11) (7 * 3 + 2p * 3) = 8(-2t + 11) (21 + 6p) = 8(-2t + 11) Reorder the terms: 21 + 6p = 8(11 + -2t) 21 + 6p = (11 * 8 + -2t * 8) 21 + 6p = (88 + -16t) Solving 21 + 6p = 88 + -16t Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 6p = 88 + -21 + -16t Combine like terms: 21 + -21 = 0 0 + 6p = 88 + -21 + -16t 6p = 88 + -21 + -16t Combine like terms: 88 + -21 = 67 6p = 67 + -16t Divide each side by '6'. p = 11.16666667 + -2.666666667t Simplifying p = 11.16666667 + -2.666666667t
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