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Simplifying 7(p + -5) = 6(p + 2) Reorder the terms: 7(-5 + p) = 6(p + 2) (-5 * 7 + p * 7) = 6(p + 2) (-35 + 7p) = 6(p + 2) Reorder the terms: -35 + 7p = 6(2 + p) -35 + 7p = (2 * 6 + p * 6) -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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