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Simplifying -6p + 54 + -2 = -5p + -18p + 18 Reorder the terms: 54 + -2 + -6p = -5p + -18p + 18 Combine like terms: 54 + -2 = 52 52 + -6p = -5p + -18p + 18 Reorder the terms: 52 + -6p = 18 + -5p + -18p Combine like terms: -5p + -18p = -23p 52 + -6p = 18 + -23p Solving 52 + -6p = 18 + -23p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '23p' to each side of the equation. 52 + -6p + 23p = 18 + -23p + 23p Combine like terms: -6p + 23p = 17p 52 + 17p = 18 + -23p + 23p Combine like terms: -23p + 23p = 0 52 + 17p = 18 + 0 52 + 17p = 18 Add '-52' to each side of the equation. 52 + -52 + 17p = 18 + -52 Combine like terms: 52 + -52 = 0 0 + 17p = 18 + -52 17p = 18 + -52 Combine like terms: 18 + -52 = -34 17p = -34 Divide each side by '17'. p = -2 Simplifying p = -2
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