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Simplifying 8 + -5p + -11 = 21 + p + -6 + 6 Reorder the terms: 8 + -11 + -5p = 21 + p + -6 + 6 Combine like terms: 8 + -11 = -3 -3 + -5p = 21 + p + -6 + 6 Reorder the terms: -3 + -5p = 21 + -6 + 6 + p Combine like terms: 21 + -6 = 15 -3 + -5p = 15 + 6 + p Combine like terms: 15 + 6 = 21 -3 + -5p = 21 + p Solving -3 + -5p = 21 + 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. -3 + -5p + -1p = 21 + p + -1p Combine like terms: -5p + -1p = -6p -3 + -6p = 21 + p + -1p Combine like terms: p + -1p = 0 -3 + -6p = 21 + 0 -3 + -6p = 21 Add '3' to each side of the equation. -3 + 3 + -6p = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -6p = 21 + 3 -6p = 21 + 3 Combine like terms: 21 + 3 = 24 -6p = 24 Divide each side by '-6'. p = -4 Simplifying p = -4
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