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Simplifying 85 = 5p + -7(-2p + -4) Reorder the terms: 85 = 5p + -7(-4 + -2p) 85 = 5p + (-4 * -7 + -2p * -7) 85 = 5p + (28 + 14p) Reorder the terms: 85 = 28 + 5p + 14p Combine like terms: 5p + 14p = 19p 85 = 28 + 19p Solving 85 = 28 + 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. 85 + -19p = 28 + 19p + -19p Combine like terms: 19p + -19p = 0 85 + -19p = 28 + 0 85 + -19p = 28 Add '-85' to each side of the equation. 85 + -85 + -19p = 28 + -85 Combine like terms: 85 + -85 = 0 0 + -19p = 28 + -85 -19p = 28 + -85 Combine like terms: 28 + -85 = -57 -19p = -57 Divide each side by '-19'. p = 3 Simplifying p = 3
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