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Simplifying -24 + -6p = 8(p + 3) + -6 Reorder the terms: -24 + -6p = 8(3 + p) + -6 -24 + -6p = (3 * 8 + p * 8) + -6 -24 + -6p = (24 + 8p) + -6 Reorder the terms: -24 + -6p = 24 + -6 + 8p Combine like terms: 24 + -6 = 18 -24 + -6p = 18 + 8p Solving -24 + -6p = 18 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -24 + -6p + -8p = 18 + 8p + -8p Combine like terms: -6p + -8p = -14p -24 + -14p = 18 + 8p + -8p Combine like terms: 8p + -8p = 0 -24 + -14p = 18 + 0 -24 + -14p = 18 Add '24' to each side of the equation. -24 + 24 + -14p = 18 + 24 Combine like terms: -24 + 24 = 0 0 + -14p = 18 + 24 -14p = 18 + 24 Combine like terms: 18 + 24 = 42 -14p = 42 Divide each side by '-14'. p = -3 Simplifying p = -3
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