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