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Simplifying -204 = 6(1 + 7p) -204 = (1 * 6 + 7p * 6) -204 = (6 + 42p) Solving -204 = 6 + 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. -204 + -42p = 6 + 42p + -42p Combine like terms: 42p + -42p = 0 -204 + -42p = 6 + 0 -204 + -42p = 6 Add '204' to each side of the equation. -204 + 204 + -42p = 6 + 204 Combine like terms: -204 + 204 = 0 0 + -42p = 6 + 204 -42p = 6 + 204 Combine like terms: 6 + 204 = 210 -42p = 210 Divide each side by '-42'. p = -5 Simplifying p = -5
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