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