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Simplifying -6(1 + 7p) + 7 = -40 + -1p (1 * -6 + 7p * -6) + 7 = -40 + -1p (-6 + -42p) + 7 = -40 + -1p Reorder the terms: -6 + 7 + -42p = -40 + -1p Combine like terms: -6 + 7 = 1 1 + -42p = -40 + -1p Solving 1 + -42p = -40 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 1 + -42p + p = -40 + -1p + p Combine like terms: -42p + p = -41p 1 + -41p = -40 + -1p + p Combine like terms: -1p + p = 0 1 + -41p = -40 + 0 1 + -41p = -40 Add '-1' to each side of the equation. 1 + -1 + -41p = -40 + -1 Combine like terms: 1 + -1 = 0 0 + -41p = -40 + -1 -41p = -40 + -1 Combine like terms: -40 + -1 = -41 -41p = -41 Divide each side by '-41'. p = 1 Simplifying p = 1
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