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Simplifying -2 + -3(2p + 2) = 12 + -2p Reorder the terms: -2 + -3(2 + 2p) = 12 + -2p -2 + (2 * -3 + 2p * -3) = 12 + -2p -2 + (-6 + -6p) = 12 + -2p Combine like terms: -2 + -6 = -8 -8 + -6p = 12 + -2p Solving -8 + -6p = 12 + -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. -8 + -6p + 2p = 12 + -2p + 2p Combine like terms: -6p + 2p = -4p -8 + -4p = 12 + -2p + 2p Combine like terms: -2p + 2p = 0 -8 + -4p = 12 + 0 -8 + -4p = 12 Add '8' to each side of the equation. -8 + 8 + -4p = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -4p = 12 + 8 -4p = 12 + 8 Combine like terms: 12 + 8 = 20 -4p = 20 Divide each side by '-4'. p = -5 Simplifying p = -5
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