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Simplifying 6p + -1(p + -8) = 38 + -1p Reorder the terms: 6p + -1(-8 + p) = 38 + -1p 6p + (-8 * -1 + p * -1) = 38 + -1p 6p + (8 + -1p) = 38 + -1p Reorder the terms: 8 + 6p + -1p = 38 + -1p Combine like terms: 6p + -1p = 5p 8 + 5p = 38 + -1p Solving 8 + 5p = 38 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 8 + 5p + p = 38 + -1p + p Combine like terms: 5p + p = 6p 8 + 6p = 38 + -1p + p Combine like terms: -1p + p = 0 8 + 6p = 38 + 0 8 + 6p = 38 Add '-8' to each side of the equation. 8 + -8 + 6p = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 6p = 38 + -8 6p = 38 + -8 Combine like terms: 38 + -8 = 30 6p = 30 Divide each side by '6'. p = 5 Simplifying p = 5
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