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Simplifying 5(2p + 8) = 2 + 6(p + 5) Reorder the terms: 5(8 + 2p) = 2 + 6(p + 5) (8 * 5 + 2p * 5) = 2 + 6(p + 5) (40 + 10p) = 2 + 6(p + 5) Reorder the terms: 40 + 10p = 2 + 6(5 + p) 40 + 10p = 2 + (5 * 6 + p * 6) 40 + 10p = 2 + (30 + 6p) Combine like terms: 2 + 30 = 32 40 + 10p = 32 + 6p Solving 40 + 10p = 32 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 40 + 10p + -6p = 32 + 6p + -6p Combine like terms: 10p + -6p = 4p 40 + 4p = 32 + 6p + -6p Combine like terms: 6p + -6p = 0 40 + 4p = 32 + 0 40 + 4p = 32 Add '-40' to each side of the equation. 40 + -40 + 4p = 32 + -40 Combine like terms: 40 + -40 = 0 0 + 4p = 32 + -40 4p = 32 + -40 Combine like terms: 32 + -40 = -8 4p = -8 Divide each side by '4'. p = -2 Simplifying p = -2
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