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Simplifying 58 = 6(1 + 5p) + 7(2 + -7p) 58 = (1 * 6 + 5p * 6) + 7(2 + -7p) 58 = (6 + 30p) + 7(2 + -7p) 58 = 6 + 30p + (2 * 7 + -7p * 7) 58 = 6 + 30p + (14 + -49p) Reorder the terms: 58 = 6 + 14 + 30p + -49p Combine like terms: 6 + 14 = 20 58 = 20 + 30p + -49p Combine like terms: 30p + -49p = -19p 58 = 20 + -19p Solving 58 = 20 + -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. 58 + 19p = 20 + -19p + 19p Combine like terms: -19p + 19p = 0 58 + 19p = 20 + 0 58 + 19p = 20 Add '-58' to each side of the equation. 58 + -58 + 19p = 20 + -58 Combine like terms: 58 + -58 = 0 0 + 19p = 20 + -58 19p = 20 + -58 Combine like terms: 20 + -58 = -38 19p = -38 Divide each side by '19'. p = -2 Simplifying p = -2
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