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Simplifying 4 + -8p = 7p + 42 Reorder the terms: 4 + -8p = 42 + 7p Solving 4 + -8p = 42 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 4 + -8p + -7p = 42 + 7p + -7p Combine like terms: -8p + -7p = -15p 4 + -15p = 42 + 7p + -7p Combine like terms: 7p + -7p = 0 4 + -15p = 42 + 0 4 + -15p = 42 Add '-4' to each side of the equation. 4 + -4 + -15p = 42 + -4 Combine like terms: 4 + -4 = 0 0 + -15p = 42 + -4 -15p = 42 + -4 Combine like terms: 42 + -4 = 38 -15p = 38 Divide each side by '-15'. p = -2.533333333 Simplifying p = -2.533333333
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