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Simplifying 5p + 5 + -6 = 6p + 3 + -24 Reorder the terms: 5 + -6 + 5p = 6p + 3 + -24 Combine like terms: 5 + -6 = -1 -1 + 5p = 6p + 3 + -24 Reorder the terms: -1 + 5p = 3 + -24 + 6p Combine like terms: 3 + -24 = -21 -1 + 5p = -21 + 6p Solving -1 + 5p = -21 + 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. -1 + 5p + -6p = -21 + 6p + -6p Combine like terms: 5p + -6p = -1p -1 + -1p = -21 + 6p + -6p Combine like terms: 6p + -6p = 0 -1 + -1p = -21 + 0 -1 + -1p = -21 Add '1' to each side of the equation. -1 + 1 + -1p = -21 + 1 Combine like terms: -1 + 1 = 0 0 + -1p = -21 + 1 -1p = -21 + 1 Combine like terms: -21 + 1 = -20 -1p = -20 Divide each side by '-1'. p = 20 Simplifying p = 20
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