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Simplifying -1p + -6 = 2p + 12 Reorder the terms: -6 + -1p = 2p + 12 Reorder the terms: -6 + -1p = 12 + 2p Solving -6 + -1p = 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. -6 + -1p + -2p = 12 + 2p + -2p Combine like terms: -1p + -2p = -3p -6 + -3p = 12 + 2p + -2p Combine like terms: 2p + -2p = 0 -6 + -3p = 12 + 0 -6 + -3p = 12 Add '6' to each side of the equation. -6 + 6 + -3p = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -3p = 12 + 6 -3p = 12 + 6 Combine like terms: 12 + 6 = 18 -3p = 18 Divide each side by '-3'. p = -6 Simplifying p = -6
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