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Simplifying 3(2p + -7) = 4p + -5 Reorder the terms: 3(-7 + 2p) = 4p + -5 (-7 * 3 + 2p * 3) = 4p + -5 (-21 + 6p) = 4p + -5 Reorder the terms: -21 + 6p = -5 + 4p Solving -21 + 6p = -5 + 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. -21 + 6p + -4p = -5 + 4p + -4p Combine like terms: 6p + -4p = 2p -21 + 2p = -5 + 4p + -4p Combine like terms: 4p + -4p = 0 -21 + 2p = -5 + 0 -21 + 2p = -5 Add '21' to each side of the equation. -21 + 21 + 2p = -5 + 21 Combine like terms: -21 + 21 = 0 0 + 2p = -5 + 21 2p = -5 + 21 Combine like terms: -5 + 21 = 16 2p = 16 Divide each side by '2'. p = 8 Simplifying p = 8
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