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Simplifying -5 + -7(3p + -2) = 24 + -6p Reorder the terms: -5 + -7(-2 + 3p) = 24 + -6p -5 + (-2 * -7 + 3p * -7) = 24 + -6p -5 + (14 + -21p) = 24 + -6p Combine like terms: -5 + 14 = 9 9 + -21p = 24 + -6p Solving 9 + -21p = 24 + -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. 9 + -21p + 6p = 24 + -6p + 6p Combine like terms: -21p + 6p = -15p 9 + -15p = 24 + -6p + 6p Combine like terms: -6p + 6p = 0 9 + -15p = 24 + 0 9 + -15p = 24 Add '-9' to each side of the equation. 9 + -9 + -15p = 24 + -9 Combine like terms: 9 + -9 = 0 0 + -15p = 24 + -9 -15p = 24 + -9 Combine like terms: 24 + -9 = 15 -15p = 15 Divide each side by '-15'. p = -1 Simplifying p = -1
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