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Simplifying 5p + -13 = 3p + -21 + 4p Reorder the terms: -13 + 5p = 3p + -21 + 4p Reorder the terms: -13 + 5p = -21 + 3p + 4p Combine like terms: 3p + 4p = 7p -13 + 5p = -21 + 7p Solving -13 + 5p = -21 + 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. -13 + 5p + -7p = -21 + 7p + -7p Combine like terms: 5p + -7p = -2p -13 + -2p = -21 + 7p + -7p Combine like terms: 7p + -7p = 0 -13 + -2p = -21 + 0 -13 + -2p = -21 Add '13' to each side of the equation. -13 + 13 + -2p = -21 + 13 Combine like terms: -13 + 13 = 0 0 + -2p = -21 + 13 -2p = -21 + 13 Combine like terms: -21 + 13 = -8 -2p = -8 Divide each side by '-2'. p = 4 Simplifying p = 4
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