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Simplifying 6(6p + 6) + -5 = 1 + 6 + p Reorder the terms: 6(6 + 6p) + -5 = 1 + 6 + p (6 * 6 + 6p * 6) + -5 = 1 + 6 + p (36 + 36p) + -5 = 1 + 6 + p Reorder the terms: 36 + -5 + 36p = 1 + 6 + p Combine like terms: 36 + -5 = 31 31 + 36p = 1 + 6 + p Combine like terms: 1 + 6 = 7 31 + 36p = 7 + p Solving 31 + 36p = 7 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 31 + 36p + -1p = 7 + p + -1p Combine like terms: 36p + -1p = 35p 31 + 35p = 7 + p + -1p Combine like terms: p + -1p = 0 31 + 35p = 7 + 0 31 + 35p = 7 Add '-31' to each side of the equation. 31 + -31 + 35p = 7 + -31 Combine like terms: 31 + -31 = 0 0 + 35p = 7 + -31 35p = 7 + -31 Combine like terms: 7 + -31 = -24 35p = -24 Divide each side by '35'. p = -0.6857142857 Simplifying p = -0.6857142857
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