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Simplifying -10p + 9p + -12 = 2p Reorder the terms: -12 + -10p + 9p = 2p Combine like terms: -10p + 9p = -1p -12 + -1p = 2p Solving -12 + -1p = 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. -12 + -1p + -2p = 2p + -2p Combine like terms: -1p + -2p = -3p -12 + -3p = 2p + -2p Combine like terms: 2p + -2p = 0 -12 + -3p = 0 Add '12' to each side of the equation. -12 + 12 + -3p = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -3p = 0 + 12 -3p = 0 + 12 Combine like terms: 0 + 12 = 12 -3p = 12 Divide each side by '-3'. p = -4 Simplifying p = -4
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