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Simplifying 6(p + -5) = 4(p + 5) Reorder the terms: 6(-5 + p) = 4(p + 5) (-5 * 6 + p * 6) = 4(p + 5) (-30 + 6p) = 4(p + 5) Reorder the terms: -30 + 6p = 4(5 + p) -30 + 6p = (5 * 4 + p * 4) -30 + 6p = (20 + 4p) Solving -30 + 6p = 20 + 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. -30 + 6p + -4p = 20 + 4p + -4p Combine like terms: 6p + -4p = 2p -30 + 2p = 20 + 4p + -4p Combine like terms: 4p + -4p = 0 -30 + 2p = 20 + 0 -30 + 2p = 20 Add '30' to each side of the equation. -30 + 30 + 2p = 20 + 30 Combine like terms: -30 + 30 = 0 0 + 2p = 20 + 30 2p = 20 + 30 Combine like terms: 20 + 30 = 50 2p = 50 Divide each side by '2'. p = 25 Simplifying p = 25
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