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Simplifying 6 + -6p = -7(7p + -7) Reorder the terms: 6 + -6p = -7(-7 + 7p) 6 + -6p = (-7 * -7 + 7p * -7) 6 + -6p = (49 + -49p) Solving 6 + -6p = 49 + -49p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '49p' to each side of the equation. 6 + -6p + 49p = 49 + -49p + 49p Combine like terms: -6p + 49p = 43p 6 + 43p = 49 + -49p + 49p Combine like terms: -49p + 49p = 0 6 + 43p = 49 + 0 6 + 43p = 49 Add '-6' to each side of the equation. 6 + -6 + 43p = 49 + -6 Combine like terms: 6 + -6 = 0 0 + 43p = 49 + -6 43p = 49 + -6 Combine like terms: 49 + -6 = 43 43p = 43 Divide each side by '43'. p = 1 Simplifying p = 1
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