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Simplifying 3p + 4 = 8 + -2(p + -3) Reorder the terms: 4 + 3p = 8 + -2(p + -3) Reorder the terms: 4 + 3p = 8 + -2(-3 + p) 4 + 3p = 8 + (-3 * -2 + p * -2) 4 + 3p = 8 + (6 + -2p) Combine like terms: 8 + 6 = 14 4 + 3p = 14 + -2p Solving 4 + 3p = 14 + -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. 4 + 3p + 2p = 14 + -2p + 2p Combine like terms: 3p + 2p = 5p 4 + 5p = 14 + -2p + 2p Combine like terms: -2p + 2p = 0 4 + 5p = 14 + 0 4 + 5p = 14 Add '-4' to each side of the equation. 4 + -4 + 5p = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 5p = 14 + -4 5p = 14 + -4 Combine like terms: 14 + -4 = 10 5p = 10 Divide each side by '5'. p = 2 Simplifying p = 2
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