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Simplifying 71 = -3(p + 3) + 4(1 + -4p) Reorder the terms: 71 = -3(3 + p) + 4(1 + -4p) 71 = (3 * -3 + p * -3) + 4(1 + -4p) 71 = (-9 + -3p) + 4(1 + -4p) 71 = -9 + -3p + (1 * 4 + -4p * 4) 71 = -9 + -3p + (4 + -16p) Reorder the terms: 71 = -9 + 4 + -3p + -16p Combine like terms: -9 + 4 = -5 71 = -5 + -3p + -16p Combine like terms: -3p + -16p = -19p 71 = -5 + -19p Solving 71 = -5 + -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. 71 + 19p = -5 + -19p + 19p Combine like terms: -19p + 19p = 0 71 + 19p = -5 + 0 71 + 19p = -5 Add '-71' to each side of the equation. 71 + -71 + 19p = -5 + -71 Combine like terms: 71 + -71 = 0 0 + 19p = -5 + -71 19p = -5 + -71 Combine like terms: -5 + -71 = -76 19p = -76 Divide each side by '19'. p = -4 Simplifying p = -4
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