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Simplifying 3p + 1 + 5p + 21 = 13p + 26 + -3p Reorder the terms: 1 + 21 + 3p + 5p = 13p + 26 + -3p Combine like terms: 1 + 21 = 22 22 + 3p + 5p = 13p + 26 + -3p Combine like terms: 3p + 5p = 8p 22 + 8p = 13p + 26 + -3p Reorder the terms: 22 + 8p = 26 + 13p + -3p Combine like terms: 13p + -3p = 10p 22 + 8p = 26 + 10p Solving 22 + 8p = 26 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 22 + 8p + -10p = 26 + 10p + -10p Combine like terms: 8p + -10p = -2p 22 + -2p = 26 + 10p + -10p Combine like terms: 10p + -10p = 0 22 + -2p = 26 + 0 22 + -2p = 26 Add '-22' to each side of the equation. 22 + -22 + -2p = 26 + -22 Combine like terms: 22 + -22 = 0 0 + -2p = 26 + -22 -2p = 26 + -22 Combine like terms: 26 + -22 = 4 -2p = 4 Divide each side by '-2'. p = -2 Simplifying p = -2
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