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Simplifying 4p + -12 = -5p + 51 Reorder the terms: -12 + 4p = -5p + 51 Reorder the terms: -12 + 4p = 51 + -5p Solving -12 + 4p = 51 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -12 + 4p + 5p = 51 + -5p + 5p Combine like terms: 4p + 5p = 9p -12 + 9p = 51 + -5p + 5p Combine like terms: -5p + 5p = 0 -12 + 9p = 51 + 0 -12 + 9p = 51 Add '12' to each side of the equation. -12 + 12 + 9p = 51 + 12 Combine like terms: -12 + 12 = 0 0 + 9p = 51 + 12 9p = 51 + 12 Combine like terms: 51 + 12 = 63 9p = 63 Divide each side by '9'. p = 7 Simplifying p = 7
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