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Simplifying 5(6 + -1p) + 1 = p + 1 (6 * 5 + -1p * 5) + 1 = p + 1 (30 + -5p) + 1 = p + 1 Reorder the terms: 30 + 1 + -5p = p + 1 Combine like terms: 30 + 1 = 31 31 + -5p = p + 1 Reorder the terms: 31 + -5p = 1 + p Solving 31 + -5p = 1 + 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 + -5p + -1p = 1 + p + -1p Combine like terms: -5p + -1p = -6p 31 + -6p = 1 + p + -1p Combine like terms: p + -1p = 0 31 + -6p = 1 + 0 31 + -6p = 1 Add '-31' to each side of the equation. 31 + -31 + -6p = 1 + -31 Combine like terms: 31 + -31 = 0 0 + -6p = 1 + -31 -6p = 1 + -31 Combine like terms: 1 + -31 = -30 -6p = -30 Divide each side by '-6'. p = 5 Simplifying p = 5
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