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Simplifying 12 + (4 + -3p) = p + 8 Remove parenthesis around (4 + -3p) 12 + 4 + -3p = p + 8 Combine like terms: 12 + 4 = 16 16 + -3p = p + 8 Reorder the terms: 16 + -3p = 8 + p Solving 16 + -3p = 8 + 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. 16 + -3p + -1p = 8 + p + -1p Combine like terms: -3p + -1p = -4p 16 + -4p = 8 + p + -1p Combine like terms: p + -1p = 0 16 + -4p = 8 + 0 16 + -4p = 8 Add '-16' to each side of the equation. 16 + -16 + -4p = 8 + -16 Combine like terms: 16 + -16 = 0 0 + -4p = 8 + -16 -4p = 8 + -16 Combine like terms: 8 + -16 = -8 -4p = -8 Divide each side by '-4'. p = 2 Simplifying p = 2
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