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Simplifying 287 = -7(1 + 6p) 287 = (1 * -7 + 6p * -7) 287 = (-7 + -42p) Solving 287 = -7 + -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. 287 + 42p = -7 + -42p + 42p Combine like terms: -42p + 42p = 0 287 + 42p = -7 + 0 287 + 42p = -7 Add '-287' to each side of the equation. 287 + -287 + 42p = -7 + -287 Combine like terms: 287 + -287 = 0 0 + 42p = -7 + -287 42p = -7 + -287 Combine like terms: -7 + -287 = -294 42p = -294 Divide each side by '42'. p = -7 Simplifying p = -7
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