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Simplifying 3(2p + 7) = 15(t + -4) Reorder the terms: 3(7 + 2p) = 15(t + -4) (7 * 3 + 2p * 3) = 15(t + -4) (21 + 6p) = 15(t + -4) Reorder the terms: 21 + 6p = 15(-4 + t) 21 + 6p = (-4 * 15 + t * 15) 21 + 6p = (-60 + 15t) Solving 21 + 6p = -60 + 15t 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 = -60 + -21 + 15t Combine like terms: 21 + -21 = 0 0 + 6p = -60 + -21 + 15t 6p = -60 + -21 + 15t Combine like terms: -60 + -21 = -81 6p = -81 + 15t Divide each side by '6'. p = -13.5 + 2.5t Simplifying p = -13.5 + 2.5t
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