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Simplifying 15 + -4p + -16 = 6p + 23 + -4p Reorder the terms: 15 + -16 + -4p = 6p + 23 + -4p Combine like terms: 15 + -16 = -1 -1 + -4p = 6p + 23 + -4p Reorder the terms: -1 + -4p = 23 + 6p + -4p Combine like terms: 6p + -4p = 2p -1 + -4p = 23 + 2p Solving -1 + -4p = 23 + 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. -1 + -4p + -2p = 23 + 2p + -2p Combine like terms: -4p + -2p = -6p -1 + -6p = 23 + 2p + -2p Combine like terms: 2p + -2p = 0 -1 + -6p = 23 + 0 -1 + -6p = 23 Add '1' to each side of the equation. -1 + 1 + -6p = 23 + 1 Combine like terms: -1 + 1 = 0 0 + -6p = 23 + 1 -6p = 23 + 1 Combine like terms: 23 + 1 = 24 -6p = 24 Divide each side by '-6'. p = -4 Simplifying p = -4
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