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Simplifying 3(2p + 7) = 5(p + -4) Reorder the terms: 3(7 + 2p) = 5(p + -4) (7 * 3 + 2p * 3) = 5(p + -4) (21 + 6p) = 5(p + -4) Reorder the terms: 21 + 6p = 5(-4 + p) 21 + 6p = (-4 * 5 + p * 5) 21 + 6p = (-20 + 5p) Solving 21 + 6p = -20 + 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 + 6p + -5p = -20 + 5p + -5p Combine like terms: 6p + -5p = 1p 21 + 1p = -20 + 5p + -5p Combine like terms: 5p + -5p = 0 21 + 1p = -20 + 0 21 + 1p = -20 Add '-21' to each side of the equation. 21 + -21 + 1p = -20 + -21 Combine like terms: 21 + -21 = 0 0 + 1p = -20 + -21 1p = -20 + -21 Combine like terms: -20 + -21 = -41 1p = -41 Divide each side by '1'. p = -41 Simplifying p = -41
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