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Simplifying -8p + 5p + -18 = 2p + 12 Reorder the terms: -18 + -8p + 5p = 2p + 12 Combine like terms: -8p + 5p = -3p -18 + -3p = 2p + 12 Reorder the terms: -18 + -3p = 12 + 2p Solving -18 + -3p = 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. -18 + -3p + -2p = 12 + 2p + -2p Combine like terms: -3p + -2p = -5p -18 + -5p = 12 + 2p + -2p Combine like terms: 2p + -2p = 0 -18 + -5p = 12 + 0 -18 + -5p = 12 Add '18' to each side of the equation. -18 + 18 + -5p = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -5p = 12 + 18 -5p = 12 + 18 Combine like terms: 12 + 18 = 30 -5p = 30 Divide each side by '-5'. p = -6 Simplifying p = -6
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