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Simplifying -7(-6p + 6) = -5 + 5p Reorder the terms: -7(6 + -6p) = -5 + 5p (6 * -7 + -6p * -7) = -5 + 5p (-42 + 42p) = -5 + 5p Solving -42 + 42p = -5 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -42 + 42p + -5p = -5 + 5p + -5p Combine like terms: 42p + -5p = 37p -42 + 37p = -5 + 5p + -5p Combine like terms: 5p + -5p = 0 -42 + 37p = -5 + 0 -42 + 37p = -5 Add '42' to each side of the equation. -42 + 42 + 37p = -5 + 42 Combine like terms: -42 + 42 = 0 0 + 37p = -5 + 42 37p = -5 + 42 Combine like terms: -5 + 42 = 37 37p = 37 Divide each side by '37'. p = 1 Simplifying p = 1
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