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Simplifying 5 + -3p = 2p + 5(2p + 4) Reorder the terms: 5 + -3p = 2p + 5(4 + 2p) 5 + -3p = 2p + (4 * 5 + 2p * 5) 5 + -3p = 2p + (20 + 10p) Reorder the terms: 5 + -3p = 20 + 2p + 10p Combine like terms: 2p + 10p = 12p 5 + -3p = 20 + 12p Solving 5 + -3p = 20 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 5 + -3p + -12p = 20 + 12p + -12p Combine like terms: -3p + -12p = -15p 5 + -15p = 20 + 12p + -12p Combine like terms: 12p + -12p = 0 5 + -15p = 20 + 0 5 + -15p = 20 Add '-5' to each side of the equation. 5 + -5 + -15p = 20 + -5 Combine like terms: 5 + -5 = 0 0 + -15p = 20 + -5 -15p = 20 + -5 Combine like terms: 20 + -5 = 15 -15p = 15 Divide each side by '-15'. p = -1 Simplifying p = -1
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