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Simplifying -1p + -12 = 4p + 21 Reorder the terms: -12 + -1p = 4p + 21 Reorder the terms: -12 + -1p = 21 + 4p Solving -12 + -1p = 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 + -1p + -4p = 21 + 4p + -4p Combine like terms: -1p + -4p = -5p -12 + -5p = 21 + 4p + -4p Combine like terms: 4p + -4p = 0 -12 + -5p = 21 + 0 -12 + -5p = 21 Add '12' to each side of the equation. -12 + 12 + -5p = 21 + 12 Combine like terms: -12 + 12 = 0 0 + -5p = 21 + 12 -5p = 21 + 12 Combine like terms: 21 + 12 = 33 -5p = 33 Divide each side by '-5'. p = -6.6 Simplifying p = -6.6
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