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Simplifying 7(p + -2) = 6 + 6p Reorder the terms: 7(-2 + p) = 6 + 6p (-2 * 7 + p * 7) = 6 + 6p (-14 + 7p) = 6 + 6p Solving -14 + 7p = 6 + 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. -14 + 7p + -6p = 6 + 6p + -6p Combine like terms: 7p + -6p = 1p -14 + 1p = 6 + 6p + -6p Combine like terms: 6p + -6p = 0 -14 + 1p = 6 + 0 -14 + 1p = 6 Add '14' to each side of the equation. -14 + 14 + 1p = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 1p = 6 + 14 1p = 6 + 14 Combine like terms: 6 + 14 = 20 1p = 20 Divide each side by '1'. p = 20 Simplifying p = 20
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