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Simplifying p + -5p + -10 = 9 + 2p + -7 Reorder the terms: -10 + p + -5p = 9 + 2p + -7 Combine like terms: p + -5p = -4p -10 + -4p = 9 + 2p + -7 Reorder the terms: -10 + -4p = 9 + -7 + 2p Combine like terms: 9 + -7 = 2 -10 + -4p = 2 + 2p Solving -10 + -4p = 2 + 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. -10 + -4p + -2p = 2 + 2p + -2p Combine like terms: -4p + -2p = -6p -10 + -6p = 2 + 2p + -2p Combine like terms: 2p + -2p = 0 -10 + -6p = 2 + 0 -10 + -6p = 2 Add '10' to each side of the equation. -10 + 10 + -6p = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -6p = 2 + 10 -6p = 2 + 10 Combine like terms: 2 + 10 = 12 -6p = 12 Divide each side by '-6'. p = -2 Simplifying p = -2
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