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Simplifying 7p + -12 = 4p + -24 + -9 Reorder the terms: -12 + 7p = 4p + -24 + -9 Reorder the terms: -12 + 7p = -24 + -9 + 4p Combine like terms: -24 + -9 = -33 -12 + 7p = -33 + 4p Solving -12 + 7p = -33 + 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 + 7p + -4p = -33 + 4p + -4p Combine like terms: 7p + -4p = 3p -12 + 3p = -33 + 4p + -4p Combine like terms: 4p + -4p = 0 -12 + 3p = -33 + 0 -12 + 3p = -33 Add '12' to each side of the equation. -12 + 12 + 3p = -33 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = -33 + 12 3p = -33 + 12 Combine like terms: -33 + 12 = -21 3p = -21 Divide each side by '3'. p = -7 Simplifying p = -7
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