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Simplifying -19 + 3p = 6(1 + -7p) -19 + 3p = (1 * 6 + -7p * 6) -19 + 3p = (6 + -42p) Solving -19 + 3p = 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. -19 + 3p + 42p = 6 + -42p + 42p Combine like terms: 3p + 42p = 45p -19 + 45p = 6 + -42p + 42p Combine like terms: -42p + 42p = 0 -19 + 45p = 6 + 0 -19 + 45p = 6 Add '19' to each side of the equation. -19 + 19 + 45p = 6 + 19 Combine like terms: -19 + 19 = 0 0 + 45p = 6 + 19 45p = 6 + 19 Combine like terms: 6 + 19 = 25 45p = 25 Divide each side by '45'. p = 0.5555555556 Simplifying p = 0.5555555556
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