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Simplifying 3(2p + 8) = 6(p + 2) + -16p Reorder the terms: 3(8 + 2p) = 6(p + 2) + -16p (8 * 3 + 2p * 3) = 6(p + 2) + -16p (24 + 6p) = 6(p + 2) + -16p Reorder the terms: 24 + 6p = 6(2 + p) + -16p 24 + 6p = (2 * 6 + p * 6) + -16p 24 + 6p = (12 + 6p) + -16p Combine like terms: 6p + -16p = -10p 24 + 6p = 12 + -10p Solving 24 + 6p = 12 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 24 + 6p + 10p = 12 + -10p + 10p Combine like terms: 6p + 10p = 16p 24 + 16p = 12 + -10p + 10p Combine like terms: -10p + 10p = 0 24 + 16p = 12 + 0 24 + 16p = 12 Add '-24' to each side of the equation. 24 + -24 + 16p = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 16p = 12 + -24 16p = 12 + -24 Combine like terms: 12 + -24 = -12 16p = -12 Divide each side by '16'. p = -0.75 Simplifying p = -0.75
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