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Simplifying 6(6p + 6) + -5 = 1 + 6p Reorder the terms: 6(6 + 6p) + -5 = 1 + 6p (6 * 6 + 6p * 6) + -5 = 1 + 6p (36 + 36p) + -5 = 1 + 6p Reorder the terms: 36 + -5 + 36p = 1 + 6p Combine like terms: 36 + -5 = 31 31 + 36p = 1 + 6p Solving 31 + 36p = 1 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 31 + 36p + -6p = 1 + 6p + -6p Combine like terms: 36p + -6p = 30p 31 + 30p = 1 + 6p + -6p Combine like terms: 6p + -6p = 0 31 + 30p = 1 + 0 31 + 30p = 1 Add '-31' to each side of the equation. 31 + -31 + 30p = 1 + -31 Combine like terms: 31 + -31 = 0 0 + 30p = 1 + -31 30p = 1 + -31 Combine like terms: 1 + -31 = -30 30p = -30 Divide each side by '30'. p = -1 Simplifying p = -1
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