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Simplifying 7 + 7(2p + -1) = 19p + -20 + -15 Reorder the terms: 7 + 7(-1 + 2p) = 19p + -20 + -15 7 + (-1 * 7 + 2p * 7) = 19p + -20 + -15 7 + (-7 + 14p) = 19p + -20 + -15 Combine like terms: 7 + -7 = 0 0 + 14p = 19p + -20 + -15 14p = 19p + -20 + -15 Reorder the terms: 14p = -20 + -15 + 19p Combine like terms: -20 + -15 = -35 14p = -35 + 19p Solving 14p = -35 + 19p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-19p' to each side of the equation. 14p + -19p = -35 + 19p + -19p Combine like terms: 14p + -19p = -5p -5p = -35 + 19p + -19p Combine like terms: 19p + -19p = 0 -5p = -35 + 0 -5p = -35 Divide each side by '-5'. p = 7 Simplifying p = 7
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