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Simplifying 10 + 2p = 2(2p + 4) Reorder the terms: 10 + 2p = 2(4 + 2p) 10 + 2p = (4 * 2 + 2p * 2) 10 + 2p = (8 + 4p) Solving 10 + 2p = 8 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 10 + 2p + -4p = 8 + 4p + -4p Combine like terms: 2p + -4p = -2p 10 + -2p = 8 + 4p + -4p Combine like terms: 4p + -4p = 0 10 + -2p = 8 + 0 10 + -2p = 8 Add '-10' to each side of the equation. 10 + -10 + -2p = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -2p = 8 + -10 -2p = 8 + -10 Combine like terms: 8 + -10 = -2 -2p = -2 Divide each side by '-2'. p = 1 Simplifying p = 1
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