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Simplifying 4[2p + -1(3 + -1p) + 5] = -7p + -2 4[2p + (3 * -1 + -1p * -1) + 5] = -7p + -2 4[2p + (-3 + 1p) + 5] = -7p + -2 Reorder the terms: 4[-3 + 5 + 2p + 1p] = -7p + -2 Combine like terms: -3 + 5 = 2 4[2 + 2p + 1p] = -7p + -2 Combine like terms: 2p + 1p = 3p 4[2 + 3p] = -7p + -2 [2 * 4 + 3p * 4] = -7p + -2 [8 + 12p] = -7p + -2 Reorder the terms: 8 + 12p = -2 + -7p Solving 8 + 12p = -2 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 8 + 12p + 7p = -2 + -7p + 7p Combine like terms: 12p + 7p = 19p 8 + 19p = -2 + -7p + 7p Combine like terms: -7p + 7p = 0 8 + 19p = -2 + 0 8 + 19p = -2 Add '-8' to each side of the equation. 8 + -8 + 19p = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 19p = -2 + -8 19p = -2 + -8 Combine like terms: -2 + -8 = -10 19p = -10 Divide each side by '19'. p = -0.5263157895 Simplifying p = -0.5263157895
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