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Simplifying 3p + -8 = 2[p + 8] + -3p Reorder the terms: -8 + 3p = 2[p + 8] + -3p Reorder the terms: -8 + 3p = 2[8 + p] + -3p -8 + 3p = [8 * 2 + p * 2] + -3p -8 + 3p = [16 + 2p] + -3p Combine like terms: 2p + -3p = -1p -8 + 3p = 16 + -1p Solving -8 + 3p = 16 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -8 + 3p + p = 16 + -1p + p Combine like terms: 3p + p = 4p -8 + 4p = 16 + -1p + p Combine like terms: -1p + p = 0 -8 + 4p = 16 + 0 -8 + 4p = 16 Add '8' to each side of the equation. -8 + 8 + 4p = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 4p = 16 + 8 4p = 16 + 8 Combine like terms: 16 + 8 = 24 4p = 24 Divide each side by '4'. p = 6 Simplifying p = 6
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