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Simplifying 3(p + -5) = 5(p + -5) Reorder the terms: 3(-5 + p) = 5(p + -5) (-5 * 3 + p * 3) = 5(p + -5) (-15 + 3p) = 5(p + -5) Reorder the terms: -15 + 3p = 5(-5 + p) -15 + 3p = (-5 * 5 + p * 5) -15 + 3p = (-25 + 5p) Solving -15 + 3p = -25 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -15 + 3p + -5p = -25 + 5p + -5p Combine like terms: 3p + -5p = -2p -15 + -2p = -25 + 5p + -5p Combine like terms: 5p + -5p = 0 -15 + -2p = -25 + 0 -15 + -2p = -25 Add '15' to each side of the equation. -15 + 15 + -2p = -25 + 15 Combine like terms: -15 + 15 = 0 0 + -2p = -25 + 15 -2p = -25 + 15 Combine like terms: -25 + 15 = -10 -2p = -10 Divide each side by '-2'. p = 5 Simplifying p = 5
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