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Simplifying -1 + 7p = 5(7 + -7p) + 6 -1 + 7p = (7 * 5 + -7p * 5) + 6 -1 + 7p = (35 + -35p) + 6 Reorder the terms: -1 + 7p = 35 + 6 + -35p Combine like terms: 35 + 6 = 41 -1 + 7p = 41 + -35p Solving -1 + 7p = 41 + -35p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '35p' to each side of the equation. -1 + 7p + 35p = 41 + -35p + 35p Combine like terms: 7p + 35p = 42p -1 + 42p = 41 + -35p + 35p Combine like terms: -35p + 35p = 0 -1 + 42p = 41 + 0 -1 + 42p = 41 Add '1' to each side of the equation. -1 + 1 + 42p = 41 + 1 Combine like terms: -1 + 1 = 0 0 + 42p = 41 + 1 42p = 41 + 1 Combine like terms: 41 + 1 = 42 42p = 42 Divide each side by '42'. p = 1 Simplifying p = 1
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