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Simplifying 5p + -2 = 2(p + 5) Reorder the terms: -2 + 5p = 2(p + 5) Reorder the terms: -2 + 5p = 2(5 + p) -2 + 5p = (5 * 2 + p * 2) -2 + 5p = (10 + 2p) Solving -2 + 5p = 10 + 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. -2 + 5p + -2p = 10 + 2p + -2p Combine like terms: 5p + -2p = 3p -2 + 3p = 10 + 2p + -2p Combine like terms: 2p + -2p = 0 -2 + 3p = 10 + 0 -2 + 3p = 10 Add '2' to each side of the equation. -2 + 2 + 3p = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 3p = 10 + 2 3p = 10 + 2 Combine like terms: 10 + 2 = 12 3p = 12 Divide each side by '3'. p = 4 Simplifying p = 4
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