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Simplifying 5[20 + p] = 2[30 + p] [20 * 5 + p * 5] = 2[30 + p] [100 + 5p] = 2[30 + p] 100 + 5p = [30 * 2 + p * 2] 100 + 5p = [60 + 2p] Solving 100 + 5p = 60 + 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. 100 + 5p + -2p = 60 + 2p + -2p Combine like terms: 5p + -2p = 3p 100 + 3p = 60 + 2p + -2p Combine like terms: 2p + -2p = 0 100 + 3p = 60 + 0 100 + 3p = 60 Add '-100' to each side of the equation. 100 + -100 + 3p = 60 + -100 Combine like terms: 100 + -100 = 0 0 + 3p = 60 + -100 3p = 60 + -100 Combine like terms: 60 + -100 = -40 3p = -40 Divide each side by '3'. p = -13.33333333 Simplifying p = -13.33333333
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