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Simplifying 3(2p + -5) = 5 + 2p Reorder the terms: 3(-5 + 2p) = 5 + 2p (-5 * 3 + 2p * 3) = 5 + 2p (-15 + 6p) = 5 + 2p Solving -15 + 6p = 5 + 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. -15 + 6p + -2p = 5 + 2p + -2p Combine like terms: 6p + -2p = 4p -15 + 4p = 5 + 2p + -2p Combine like terms: 2p + -2p = 0 -15 + 4p = 5 + 0 -15 + 4p = 5 Add '15' to each side of the equation. -15 + 15 + 4p = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 4p = 5 + 15 4p = 5 + 15 Combine like terms: 5 + 15 = 20 4p = 20 Divide each side by '4'. p = 5 Simplifying p = 5
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