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Simplifying 3(p + 8) = -6(p + 6) Reorder the terms: 3(8 + p) = -6(p + 6) (8 * 3 + p * 3) = -6(p + 6) (24 + 3p) = -6(p + 6) Reorder the terms: 24 + 3p = -6(6 + p) 24 + 3p = (6 * -6 + p * -6) 24 + 3p = (-36 + -6p) Solving 24 + 3p = -36 + -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 + 3p + 6p = -36 + -6p + 6p Combine like terms: 3p + 6p = 9p 24 + 9p = -36 + -6p + 6p Combine like terms: -6p + 6p = 0 24 + 9p = -36 + 0 24 + 9p = -36 Add '-24' to each side of the equation. 24 + -24 + 9p = -36 + -24 Combine like terms: 24 + -24 = 0 0 + 9p = -36 + -24 9p = -36 + -24 Combine like terms: -36 + -24 = -60 9p = -60 Divide each side by '9'. p = -6.666666667 Simplifying p = -6.666666667
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