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Simplifying -343 = 7(6p + -7) Reorder the terms: -343 = 7(-7 + 6p) -343 = (-7 * 7 + 6p * 7) -343 = (-49 + 42p) Solving -343 = -49 + 42p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-42p' to each side of the equation. -343 + -42p = -49 + 42p + -42p Combine like terms: 42p + -42p = 0 -343 + -42p = -49 + 0 -343 + -42p = -49 Add '343' to each side of the equation. -343 + 343 + -42p = -49 + 343 Combine like terms: -343 + 343 = 0 0 + -42p = -49 + 343 -42p = -49 + 343 Combine like terms: -49 + 343 = 294 -42p = 294 Divide each side by '-42'. p = -7 Simplifying p = -7
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