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Simplifying 3(p + 8) + -7p = -4p + 2(p + 10) Reorder the terms: 3(8 + p) + -7p = -4p + 2(p + 10) (8 * 3 + p * 3) + -7p = -4p + 2(p + 10) (24 + 3p) + -7p = -4p + 2(p + 10) Combine like terms: 3p + -7p = -4p 24 + -4p = -4p + 2(p + 10) Reorder the terms: 24 + -4p = -4p + 2(10 + p) 24 + -4p = -4p + (10 * 2 + p * 2) 24 + -4p = -4p + (20 + 2p) Reorder the terms: 24 + -4p = 20 + -4p + 2p Combine like terms: -4p + 2p = -2p 24 + -4p = 20 + -2p Solving 24 + -4p = 20 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. 24 + -4p + 2p = 20 + -2p + 2p Combine like terms: -4p + 2p = -2p 24 + -2p = 20 + -2p + 2p Combine like terms: -2p + 2p = 0 24 + -2p = 20 + 0 24 + -2p = 20 Add '-24' to each side of the equation. 24 + -24 + -2p = 20 + -24 Combine like terms: 24 + -24 = 0 0 + -2p = 20 + -24 -2p = 20 + -24 Combine like terms: 20 + -24 = -4 -2p = -4 Divide each side by '-2'. p = 2 Simplifying p = 2
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