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Simplifying -6(-7p + 7) + -2 = -5p + 3 Reorder the terms: -6(7 + -7p) + -2 = -5p + 3 (7 * -6 + -7p * -6) + -2 = -5p + 3 (-42 + 42p) + -2 = -5p + 3 Reorder the terms: -42 + -2 + 42p = -5p + 3 Combine like terms: -42 + -2 = -44 -44 + 42p = -5p + 3 Reorder the terms: -44 + 42p = 3 + -5p Solving -44 + 42p = 3 + -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. -44 + 42p + 5p = 3 + -5p + 5p Combine like terms: 42p + 5p = 47p -44 + 47p = 3 + -5p + 5p Combine like terms: -5p + 5p = 0 -44 + 47p = 3 + 0 -44 + 47p = 3 Add '44' to each side of the equation. -44 + 44 + 47p = 3 + 44 Combine like terms: -44 + 44 = 0 0 + 47p = 3 + 44 47p = 3 + 44 Combine like terms: 3 + 44 = 47 47p = 47 Divide each side by '47'. p = 1 Simplifying p = 1
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