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Simplifying 8(p + 6) = 4p + 24 Reorder the terms: 8(6 + p) = 4p + 24 (6 * 8 + p * 8) = 4p + 24 (48 + 8p) = 4p + 24 Reorder the terms: 48 + 8p = 24 + 4p Solving 48 + 8p = 24 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 48 + 8p + -4p = 24 + 4p + -4p Combine like terms: 8p + -4p = 4p 48 + 4p = 24 + 4p + -4p Combine like terms: 4p + -4p = 0 48 + 4p = 24 + 0 48 + 4p = 24 Add '-48' to each side of the equation. 48 + -48 + 4p = 24 + -48 Combine like terms: 48 + -48 = 0 0 + 4p = 24 + -48 4p = 24 + -48 Combine like terms: 24 + -48 = -24 4p = -24 Divide each side by '4'. p = -6 Simplifying p = -6
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