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Simplifying 3p + -2 = 5(8 + p) Reorder the terms: -2 + 3p = 5(8 + p) -2 + 3p = (8 * 5 + p * 5) -2 + 3p = (40 + 5p) Solving -2 + 3p = 40 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -2 + 3p + -5p = 40 + 5p + -5p Combine like terms: 3p + -5p = -2p -2 + -2p = 40 + 5p + -5p Combine like terms: 5p + -5p = 0 -2 + -2p = 40 + 0 -2 + -2p = 40 Add '2' to each side of the equation. -2 + 2 + -2p = 40 + 2 Combine like terms: -2 + 2 = 0 0 + -2p = 40 + 2 -2p = 40 + 2 Combine like terms: 40 + 2 = 42 -2p = 42 Divide each side by '-2'. p = -21 Simplifying p = -21
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