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Simplifying 12 + p = 4p + 4 + 5 Reorder the terms: 12 + p = 4 + 5 + 4p Combine like terms: 4 + 5 = 9 12 + p = 9 + 4p Solving 12 + p = 9 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 12 + p + -4p = 9 + 4p + -4p Combine like terms: p + -4p = -3p 12 + -3p = 9 + 4p + -4p Combine like terms: 4p + -4p = 0 12 + -3p = 9 + 0 12 + -3p = 9 Add '-12' to each side of the equation. 12 + -12 + -3p = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -3p = 9 + -12 -3p = 9 + -12 Combine like terms: 9 + -12 = -3 -3p = -3 Divide each side by '-3'. p = 1 Simplifying p = 1
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