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Simplifying 6(p + 5) + 8 = 2p Reorder the terms: 6(5 + p) + 8 = 2p (5 * 6 + p * 6) + 8 = 2p (30 + 6p) + 8 = 2p Reorder the terms: 30 + 8 + 6p = 2p Combine like terms: 30 + 8 = 38 38 + 6p = 2p Solving 38 + 6p = 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. 38 + 6p + -2p = 2p + -2p Combine like terms: 6p + -2p = 4p 38 + 4p = 2p + -2p Combine like terms: 2p + -2p = 0 38 + 4p = 0 Add '-38' to each side of the equation. 38 + -38 + 4p = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 4p = 0 + -38 4p = 0 + -38 Combine like terms: 0 + -38 = -38 4p = -38 Divide each side by '4'. p = -9.5 Simplifying p = -9.5
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