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Simplifying -6(1 + 7p) = 39 + 3p (1 * -6 + 7p * -6) = 39 + 3p (-6 + -42p) = 39 + 3p Solving -6 + -42p = 39 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -6 + -42p + -3p = 39 + 3p + -3p Combine like terms: -42p + -3p = -45p -6 + -45p = 39 + 3p + -3p Combine like terms: 3p + -3p = 0 -6 + -45p = 39 + 0 -6 + -45p = 39 Add '6' to each side of the equation. -6 + 6 + -45p = 39 + 6 Combine like terms: -6 + 6 = 0 0 + -45p = 39 + 6 -45p = 39 + 6 Combine like terms: 39 + 6 = 45 -45p = 45 Divide each side by '-45'. p = -1 Simplifying p = -1
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