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Simplifying 7(p + -3) = 5(p + -3) Reorder the terms: 7(-3 + p) = 5(p + -3) (-3 * 7 + p * 7) = 5(p + -3) (-21 + 7p) = 5(p + -3) Reorder the terms: -21 + 7p = 5(-3 + p) -21 + 7p = (-3 * 5 + p * 5) -21 + 7p = (-15 + 5p) Solving -21 + 7p = -15 + 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. -21 + 7p + -5p = -15 + 5p + -5p Combine like terms: 7p + -5p = 2p -21 + 2p = -15 + 5p + -5p Combine like terms: 5p + -5p = 0 -21 + 2p = -15 + 0 -21 + 2p = -15 Add '21' to each side of the equation. -21 + 21 + 2p = -15 + 21 Combine like terms: -21 + 21 = 0 0 + 2p = -15 + 21 2p = -15 + 21 Combine like terms: -15 + 21 = 6 2p = 6 Divide each side by '2'. p = 3 Simplifying p = 3
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