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Simplifying 3p + -8 = 2(p + 8) + -3 Reorder the terms: -8 + 3p = 2(p + 8) + -3 Reorder the terms: -8 + 3p = 2(8 + p) + -3 -8 + 3p = (8 * 2 + p * 2) + -3 -8 + 3p = (16 + 2p) + -3 Reorder the terms: -8 + 3p = 16 + -3 + 2p Combine like terms: 16 + -3 = 13 -8 + 3p = 13 + 2p Solving -8 + 3p = 13 + 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. -8 + 3p + -2p = 13 + 2p + -2p Combine like terms: 3p + -2p = 1p -8 + 1p = 13 + 2p + -2p Combine like terms: 2p + -2p = 0 -8 + 1p = 13 + 0 -8 + 1p = 13 Add '8' to each side of the equation. -8 + 8 + 1p = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 1p = 13 + 8 1p = 13 + 8 Combine like terms: 13 + 8 = 21 1p = 21 Divide each side by '1'. p = 21 Simplifying p = 21
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