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Simplifying -1p + -4p + -5 + 3p = 6 + -3p + 2 Reorder the terms: -5 + -1p + -4p + 3p = 6 + -3p + 2 Combine like terms: -1p + -4p = -5p -5 + -5p + 3p = 6 + -3p + 2 Combine like terms: -5p + 3p = -2p -5 + -2p = 6 + -3p + 2 Reorder the terms: -5 + -2p = 6 + 2 + -3p Combine like terms: 6 + 2 = 8 -5 + -2p = 8 + -3p Solving -5 + -2p = 8 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -5 + -2p + 3p = 8 + -3p + 3p Combine like terms: -2p + 3p = 1p -5 + 1p = 8 + -3p + 3p Combine like terms: -3p + 3p = 0 -5 + 1p = 8 + 0 -5 + 1p = 8 Add '5' to each side of the equation. -5 + 5 + 1p = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 1p = 8 + 5 1p = 8 + 5 Combine like terms: 8 + 5 = 13 1p = 13 Divide each side by '1'. p = 13 Simplifying p = 13
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