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Simplifying 4p + -8 = 2p + 5p + 13 Reorder the terms: -8 + 4p = 2p + 5p + 13 Reorder the terms: -8 + 4p = 13 + 2p + 5p Combine like terms: 2p + 5p = 7p -8 + 4p = 13 + 7p Solving -8 + 4p = 13 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -8 + 4p + -7p = 13 + 7p + -7p Combine like terms: 4p + -7p = -3p -8 + -3p = 13 + 7p + -7p Combine like terms: 7p + -7p = 0 -8 + -3p = 13 + 0 -8 + -3p = 13 Add '8' to each side of the equation. -8 + 8 + -3p = 13 + 8 Combine like terms: -8 + 8 = 0 0 + -3p = 13 + 8 -3p = 13 + 8 Combine like terms: 13 + 8 = 21 -3p = 21 Divide each side by '-3'. p = -7 Simplifying p = -7
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