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Simplifying 9 + -6(p + 7) = 2(1 + -1p) Reorder the terms: 9 + -6(7 + p) = 2(1 + -1p) 9 + (7 * -6 + p * -6) = 2(1 + -1p) 9 + (-42 + -6p) = 2(1 + -1p) Combine like terms: 9 + -42 = -33 -33 + -6p = 2(1 + -1p) -33 + -6p = (1 * 2 + -1p * 2) -33 + -6p = (2 + -2p) Solving -33 + -6p = 2 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -33 + -6p + 2p = 2 + -2p + 2p Combine like terms: -6p + 2p = -4p -33 + -4p = 2 + -2p + 2p Combine like terms: -2p + 2p = 0 -33 + -4p = 2 + 0 -33 + -4p = 2 Add '33' to each side of the equation. -33 + 33 + -4p = 2 + 33 Combine like terms: -33 + 33 = 0 0 + -4p = 2 + 33 -4p = 2 + 33 Combine like terms: 2 + 33 = 35 -4p = 35 Divide each side by '-4'. p = -8.75 Simplifying p = -8.75
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