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Simplifying -4p + 42 = -6 + 2p Reorder the terms: 42 + -4p = -6 + 2p Solving 42 + -4p = -6 + 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. 42 + -4p + -2p = -6 + 2p + -2p Combine like terms: -4p + -2p = -6p 42 + -6p = -6 + 2p + -2p Combine like terms: 2p + -2p = 0 42 + -6p = -6 + 0 42 + -6p = -6 Add '-42' to each side of the equation. 42 + -42 + -6p = -6 + -42 Combine like terms: 42 + -42 = 0 0 + -6p = -6 + -42 -6p = -6 + -42 Combine like terms: -6 + -42 = -48 -6p = -48 Divide each side by '-6'. p = 8 Simplifying p = 8
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