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Simplifying 400 + -5p = 100 + 2p Solving 400 + -5p = 100 + 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. 400 + -5p + -2p = 100 + 2p + -2p Combine like terms: -5p + -2p = -7p 400 + -7p = 100 + 2p + -2p Combine like terms: 2p + -2p = 0 400 + -7p = 100 + 0 400 + -7p = 100 Add '-400' to each side of the equation. 400 + -400 + -7p = 100 + -400 Combine like terms: 400 + -400 = 0 0 + -7p = 100 + -400 -7p = 100 + -400 Combine like terms: 100 + -400 = -300 -7p = -300 Divide each side by '-7'. p = 42.85714286 Simplifying p = 42.85714286
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