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Simplifying 2p + 8 = 6(p + 2) Reorder the terms: 8 + 2p = 6(p + 2) Reorder the terms: 8 + 2p = 6(2 + p) 8 + 2p = (2 * 6 + p * 6) 8 + 2p = (12 + 6p) Solving 8 + 2p = 12 + 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. 8 + 2p + -6p = 12 + 6p + -6p Combine like terms: 2p + -6p = -4p 8 + -4p = 12 + 6p + -6p Combine like terms: 6p + -6p = 0 8 + -4p = 12 + 0 8 + -4p = 12 Add '-8' to each side of the equation. 8 + -8 + -4p = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -4p = 12 + -8 -4p = 12 + -8 Combine like terms: 12 + -8 = 4 -4p = 4 Divide each side by '-4'. p = -1 Simplifying p = -1
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