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Simplifying -19p + -4(4 + -6p) = 2(p + -3) + -25 -19p + (4 * -4 + -6p * -4) = 2(p + -3) + -25 -19p + (-16 + 24p) = 2(p + -3) + -25 Reorder the terms: -16 + -19p + 24p = 2(p + -3) + -25 Combine like terms: -19p + 24p = 5p -16 + 5p = 2(p + -3) + -25 Reorder the terms: -16 + 5p = 2(-3 + p) + -25 -16 + 5p = (-3 * 2 + p * 2) + -25 -16 + 5p = (-6 + 2p) + -25 Reorder the terms: -16 + 5p = -6 + -25 + 2p Combine like terms: -6 + -25 = -31 -16 + 5p = -31 + 2p Solving -16 + 5p = -31 + 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. -16 + 5p + -2p = -31 + 2p + -2p Combine like terms: 5p + -2p = 3p -16 + 3p = -31 + 2p + -2p Combine like terms: 2p + -2p = 0 -16 + 3p = -31 + 0 -16 + 3p = -31 Add '16' to each side of the equation. -16 + 16 + 3p = -31 + 16 Combine like terms: -16 + 16 = 0 0 + 3p = -31 + 16 3p = -31 + 16 Combine like terms: -31 + 16 = -15 3p = -15 Divide each side by '3'. p = -5 Simplifying p = -5
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