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Simplifying 3(2p + -5) = 8p + -5 Reorder the terms: 3(-5 + 2p) = 8p + -5 (-5 * 3 + 2p * 3) = 8p + -5 (-15 + 6p) = 8p + -5 Reorder the terms: -15 + 6p = -5 + 8p Solving -15 + 6p = -5 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -15 + 6p + -8p = -5 + 8p + -8p Combine like terms: 6p + -8p = -2p -15 + -2p = -5 + 8p + -8p Combine like terms: 8p + -8p = 0 -15 + -2p = -5 + 0 -15 + -2p = -5 Add '15' to each side of the equation. -15 + 15 + -2p = -5 + 15 Combine like terms: -15 + 15 = 0 0 + -2p = -5 + 15 -2p = -5 + 15 Combine like terms: -5 + 15 = 10 -2p = 10 Divide each side by '-2'. p = -5 Simplifying p = -5
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