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Simplifying p + -12 = 4p + 21 Reorder the terms: -12 + p = 4p + 21 Reorder the terms: -12 + p = 21 + 4p Solving -12 + p = 21 + 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 = 21 + 4p + -4p Combine like terms: p + -4p = -3p -12 + -3p = 21 + 4p + -4p Combine like terms: 4p + -4p = 0 -12 + -3p = 21 + 0 -12 + -3p = 21 Add '12' to each side of the equation. -12 + 12 + -3p = 21 + 12 Combine like terms: -12 + 12 = 0 0 + -3p = 21 + 12 -3p = 21 + 12 Combine like terms: 21 + 12 = 33 -3p = 33 Divide each side by '-3'. p = -11 Simplifying p = -11
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