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Simplifying -21 = 8 + 5p + 1 Reorder the terms: -21 = 8 + 1 + 5p Combine like terms: 8 + 1 = 9 -21 = 9 + 5p Solving -21 = 9 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -21 + -5p = 9 + 5p + -5p Combine like terms: 5p + -5p = 0 -21 + -5p = 9 + 0 -21 + -5p = 9 Add '21' to each side of the equation. -21 + 21 + -5p = 9 + 21 Combine like terms: -21 + 21 = 0 0 + -5p = 9 + 21 -5p = 9 + 21 Combine like terms: 9 + 21 = 30 -5p = 30 Divide each side by '-5'. p = -6 Simplifying p = -6
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