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