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Simplifying -365 = 1 + 6(7p + -5) Reorder the terms: -365 = 1 + 6(-5 + 7p) -365 = 1 + (-5 * 6 + 7p * 6) -365 = 1 + (-30 + 42p) Combine like terms: 1 + -30 = -29 -365 = -29 + 42p Solving -365 = -29 + 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. -365 + -42p = -29 + 42p + -42p Combine like terms: 42p + -42p = 0 -365 + -42p = -29 + 0 -365 + -42p = -29 Add '365' to each side of the equation. -365 + 365 + -42p = -29 + 365 Combine like terms: -365 + 365 = 0 0 + -42p = -29 + 365 -42p = -29 + 365 Combine like terms: -29 + 365 = 336 -42p = 336 Divide each side by '-42'. p = -8 Simplifying p = -8
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