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Simplifying 3(2p + 10) = 6(p + 4) + -24p Reorder the terms: 3(10 + 2p) = 6(p + 4) + -24p (10 * 3 + 2p * 3) = 6(p + 4) + -24p (30 + 6p) = 6(p + 4) + -24p Reorder the terms: 30 + 6p = 6(4 + p) + -24p 30 + 6p = (4 * 6 + p * 6) + -24p 30 + 6p = (24 + 6p) + -24p Combine like terms: 6p + -24p = -18p 30 + 6p = 24 + -18p Solving 30 + 6p = 24 + -18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18p' to each side of the equation. 30 + 6p + 18p = 24 + -18p + 18p Combine like terms: 6p + 18p = 24p 30 + 24p = 24 + -18p + 18p Combine like terms: -18p + 18p = 0 30 + 24p = 24 + 0 30 + 24p = 24 Add '-30' to each side of the equation. 30 + -30 + 24p = 24 + -30 Combine like terms: 30 + -30 = 0 0 + 24p = 24 + -30 24p = 24 + -30 Combine like terms: 24 + -30 = -6 24p = -6 Divide each side by '24'. p = -0.25 Simplifying p = -0.25
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