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Simplifying -19p + -5(4 + -5p) = 4(p + -6) + -6 -19p + (4 * -5 + -5p * -5) = 4(p + -6) + -6 -19p + (-20 + 25p) = 4(p + -6) + -6 Reorder the terms: -20 + -19p + 25p = 4(p + -6) + -6 Combine like terms: -19p + 25p = 6p -20 + 6p = 4(p + -6) + -6 Reorder the terms: -20 + 6p = 4(-6 + p) + -6 -20 + 6p = (-6 * 4 + p * 4) + -6 -20 + 6p = (-24 + 4p) + -6 Reorder the terms: -20 + 6p = -24 + -6 + 4p Combine like terms: -24 + -6 = -30 -20 + 6p = -30 + 4p Solving -20 + 6p = -30 + 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. -20 + 6p + -4p = -30 + 4p + -4p Combine like terms: 6p + -4p = 2p -20 + 2p = -30 + 4p + -4p Combine like terms: 4p + -4p = 0 -20 + 2p = -30 + 0 -20 + 2p = -30 Add '20' to each side of the equation. -20 + 20 + 2p = -30 + 20 Combine like terms: -20 + 20 = 0 0 + 2p = -30 + 20 2p = -30 + 20 Combine like terms: -30 + 20 = -10 2p = -10 Divide each side by '2'. p = -5 Simplifying p = -5
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