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Simplifying -3p + 7 + p = 1 + 2p + 6 Reorder the terms: 7 + -3p + p = 1 + 2p + 6 Combine like terms: -3p + p = -2p 7 + -2p = 1 + 2p + 6 Reorder the terms: 7 + -2p = 1 + 6 + 2p Combine like terms: 1 + 6 = 7 7 + -2p = 7 + 2p Add '-7' to each side of the equation. 7 + -7 + -2p = 7 + -7 + 2p Combine like terms: 7 + -7 = 0 0 + -2p = 7 + -7 + 2p -2p = 7 + -7 + 2p Combine like terms: 7 + -7 = 0 -2p = 0 + 2p -2p = 2p Solving -2p = 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. -2p + -2p = 2p + -2p Combine like terms: -2p + -2p = -4p -4p = 2p + -2p Combine like terms: 2p + -2p = 0 -4p = 0 Divide each side by '-4'. p = 0 Simplifying p = 0
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