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Simplifying 7p + -35 = 6p + 12 Reorder the terms: -35 + 7p = 6p + 12 Reorder the terms: -35 + 7p = 12 + 6p Solving -35 + 7p = 12 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -35 + 7p + -6p = 12 + 6p + -6p Combine like terms: 7p + -6p = 1p -35 + 1p = 12 + 6p + -6p Combine like terms: 6p + -6p = 0 -35 + 1p = 12 + 0 -35 + 1p = 12 Add '35' to each side of the equation. -35 + 35 + 1p = 12 + 35 Combine like terms: -35 + 35 = 0 0 + 1p = 12 + 35 1p = 12 + 35 Combine like terms: 12 + 35 = 47 1p = 47 Divide each side by '1'. p = 47 Simplifying p = 47
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