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Simplifying 5p + -7 + -2p + -9 = p + 8 + 6p Reorder the terms: -7 + -9 + 5p + -2p = p + 8 + 6p Combine like terms: -7 + -9 = -16 -16 + 5p + -2p = p + 8 + 6p Combine like terms: 5p + -2p = 3p -16 + 3p = p + 8 + 6p Reorder the terms: -16 + 3p = 8 + p + 6p Combine like terms: p + 6p = 7p -16 + 3p = 8 + 7p Solving -16 + 3p = 8 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -16 + 3p + -7p = 8 + 7p + -7p Combine like terms: 3p + -7p = -4p -16 + -4p = 8 + 7p + -7p Combine like terms: 7p + -7p = 0 -16 + -4p = 8 + 0 -16 + -4p = 8 Add '16' to each side of the equation. -16 + 16 + -4p = 8 + 16 Combine like terms: -16 + 16 = 0 0 + -4p = 8 + 16 -4p = 8 + 16 Combine like terms: 8 + 16 = 24 -4p = 24 Divide each side by '-4'. p = -6 Simplifying p = -6
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