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Simplifying 5(6 + -1p) + 2 = p + 2 (6 * 5 + -1p * 5) + 2 = p + 2 (30 + -5p) + 2 = p + 2 Reorder the terms: 30 + 2 + -5p = p + 2 Combine like terms: 30 + 2 = 32 32 + -5p = p + 2 Reorder the terms: 32 + -5p = 2 + p Solving 32 + -5p = 2 + 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. 32 + -5p + -1p = 2 + p + -1p Combine like terms: -5p + -1p = -6p 32 + -6p = 2 + p + -1p Combine like terms: p + -1p = 0 32 + -6p = 2 + 0 32 + -6p = 2 Add '-32' to each side of the equation. 32 + -32 + -6p = 2 + -32 Combine like terms: 32 + -32 = 0 0 + -6p = 2 + -32 -6p = 2 + -32 Combine like terms: 2 + -32 = -30 -6p = -30 Divide each side by '-6'. p = 5 Simplifying p = 5
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