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Simplifying p + 36 = 5(-3p + 4) Reorder the terms: 36 + p = 5(-3p + 4) Reorder the terms: 36 + p = 5(4 + -3p) 36 + p = (4 * 5 + -3p * 5) 36 + p = (20 + -15p) Solving 36 + p = 20 + -15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15p' to each side of the equation. 36 + p + 15p = 20 + -15p + 15p Combine like terms: p + 15p = 16p 36 + 16p = 20 + -15p + 15p Combine like terms: -15p + 15p = 0 36 + 16p = 20 + 0 36 + 16p = 20 Add '-36' to each side of the equation. 36 + -36 + 16p = 20 + -36 Combine like terms: 36 + -36 = 0 0 + 16p = 20 + -36 16p = 20 + -36 Combine like terms: 20 + -36 = -16 16p = -16 Divide each side by '16'. p = -1 Simplifying p = -1
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