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Simplifying -24 = 6(7 + p) -24 = (7 * 6 + p * 6) -24 = (42 + 6p) Solving -24 = 42 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -24 + -6p = 42 + 6p + -6p Combine like terms: 6p + -6p = 0 -24 + -6p = 42 + 0 -24 + -6p = 42 Add '24' to each side of the equation. -24 + 24 + -6p = 42 + 24 Combine like terms: -24 + 24 = 0 0 + -6p = 42 + 24 -6p = 42 + 24 Combine like terms: 42 + 24 = 66 -6p = 66 Divide each side by '-6'. p = -11 Simplifying p = -11
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