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Simplifying 5p + 84 = p + 42 Reorder the terms: 84 + 5p = p + 42 Reorder the terms: 84 + 5p = 42 + p Solving 84 + 5p = 42 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 84 + 5p + -1p = 42 + p + -1p Combine like terms: 5p + -1p = 4p 84 + 4p = 42 + p + -1p Combine like terms: p + -1p = 0 84 + 4p = 42 + 0 84 + 4p = 42 Add '-84' to each side of the equation. 84 + -84 + 4p = 42 + -84 Combine like terms: 84 + -84 = 0 0 + 4p = 42 + -84 4p = 42 + -84 Combine like terms: 42 + -84 = -42 4p = -42 Divide each side by '4'. p = -10.5 Simplifying p = -10.5
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