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Simplifying 6p + 12 + -13 = -5 + 7p + -2p Reorder the terms: 12 + -13 + 6p = -5 + 7p + -2p Combine like terms: 12 + -13 = -1 -1 + 6p = -5 + 7p + -2p Combine like terms: 7p + -2p = 5p -1 + 6p = -5 + 5p Solving -1 + 6p = -5 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -1 + 6p + -5p = -5 + 5p + -5p Combine like terms: 6p + -5p = 1p -1 + 1p = -5 + 5p + -5p Combine like terms: 5p + -5p = 0 -1 + 1p = -5 + 0 -1 + 1p = -5 Add '1' to each side of the equation. -1 + 1 + 1p = -5 + 1 Combine like terms: -1 + 1 = 0 0 + 1p = -5 + 1 1p = -5 + 1 Combine like terms: -5 + 1 = -4 1p = -4 Divide each side by '1'. p = -4 Simplifying p = -4
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