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Simplifying -19p + -5(6 + -5p) = 2(p + -3) + -24 -19p + (6 * -5 + -5p * -5) = 2(p + -3) + -24 -19p + (-30 + 25p) = 2(p + -3) + -24 Reorder the terms: -30 + -19p + 25p = 2(p + -3) + -24 Combine like terms: -19p + 25p = 6p -30 + 6p = 2(p + -3) + -24 Reorder the terms: -30 + 6p = 2(-3 + p) + -24 -30 + 6p = (-3 * 2 + p * 2) + -24 -30 + 6p = (-6 + 2p) + -24 Reorder the terms: -30 + 6p = -6 + -24 + 2p Combine like terms: -6 + -24 = -30 -30 + 6p = -30 + 2p Add '30' to each side of the equation. -30 + 30 + 6p = -30 + 30 + 2p Combine like terms: -30 + 30 = 0 0 + 6p = -30 + 30 + 2p 6p = -30 + 30 + 2p Combine like terms: -30 + 30 = 0 6p = 0 + 2p 6p = 2p Solving 6p = 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 6p + -2p = 2p + -2p Combine like terms: 6p + -2p = 4p 4p = 2p + -2p Combine like terms: 2p + -2p = 0 4p = 0 Divide each side by '4'. p = 0 Simplifying p = 0
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