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