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Simplifying 29 + -8 = 12 + (p + -3) Combine like terms: 29 + -8 = 21 21 = 12 + (p + -3) Reorder the terms: 21 = 12 + (-3 + p) Remove parenthesis around (-3 + p) 21 = 12 + -3 + p Combine like terms: 12 + -3 = 9 21 = 9 + p Solving 21 = 9 + 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. 21 + -1p = 9 + p + -1p Combine like terms: p + -1p = 0 21 + -1p = 9 + 0 21 + -1p = 9 Add '-21' to each side of the equation. 21 + -21 + -1p = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -1p = 9 + -21 -1p = 9 + -21 Combine like terms: 9 + -21 = -12 -1p = -12 Divide each side by '-1'. p = 12 Simplifying p = 12
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