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Simplifying 5p + 3p + -7 = 6p + 21 Reorder the terms: -7 + 5p + 3p = 6p + 21 Combine like terms: 5p + 3p = 8p -7 + 8p = 6p + 21 Reorder the terms: -7 + 8p = 21 + 6p Solving -7 + 8p = 21 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -7 + 8p + -6p = 21 + 6p + -6p Combine like terms: 8p + -6p = 2p -7 + 2p = 21 + 6p + -6p Combine like terms: 6p + -6p = 0 -7 + 2p = 21 + 0 -7 + 2p = 21 Add '7' to each side of the equation. -7 + 7 + 2p = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 2p = 21 + 7 2p = 21 + 7 Combine like terms: 21 + 7 = 28 2p = 28 Divide each side by '2'. p = 14 Simplifying p = 14
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