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Simplifying p + -2 + 5p = 2p + -6 Reorder the terms: -2 + p + 5p = 2p + -6 Combine like terms: p + 5p = 6p -2 + 6p = 2p + -6 Reorder the terms: -2 + 6p = -6 + 2p Solving -2 + 6p = -6 + 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. -2 + 6p + -2p = -6 + 2p + -2p Combine like terms: 6p + -2p = 4p -2 + 4p = -6 + 2p + -2p Combine like terms: 2p + -2p = 0 -2 + 4p = -6 + 0 -2 + 4p = -6 Add '2' to each side of the equation. -2 + 2 + 4p = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 4p = -6 + 2 4p = -6 + 2 Combine like terms: -6 + 2 = -4 4p = -4 Divide each side by '4'. p = -1 Simplifying p = -1
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