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Simplifying 2(p + 5) + -1(9 + t) = -6 Reorder the terms: 2(5 + p) + -1(9 + t) = -6 (5 * 2 + p * 2) + -1(9 + t) = -6 (10 + 2p) + -1(9 + t) = -6 10 + 2p + (9 * -1 + t * -1) = -6 10 + 2p + (-9 + -1t) = -6 Reorder the terms: 10 + -9 + 2p + -1t = -6 Combine like terms: 10 + -9 = 1 1 + 2p + -1t = -6 Solving 1 + 2p + -1t = -6 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2p + -1 + -1t = -6 + -1 Reorder the terms: 1 + -1 + 2p + -1t = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 2p + -1t = -6 + -1 2p + -1t = -6 + -1 Combine like terms: -6 + -1 = -7 2p + -1t = -7 Add 't' to each side of the equation. 2p + -1t + t = -7 + t Combine like terms: -1t + t = 0 2p + 0 = -7 + t 2p = -7 + t Divide each side by '2'. p = -3.5 + 0.5t Simplifying p = -3.5 + 0.5t
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