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Simplifying 8 + -1(p + 2) + 6p + 7 = p + 13 Reorder the terms: 8 + -1(2 + p) + 6p + 7 = p + 13 8 + (2 * -1 + p * -1) + 6p + 7 = p + 13 8 + (-2 + -1p) + 6p + 7 = p + 13 Reorder the terms: 8 + -2 + 7 + -1p + 6p = p + 13 Combine like terms: 8 + -2 = 6 6 + 7 + -1p + 6p = p + 13 Combine like terms: 6 + 7 = 13 13 + -1p + 6p = p + 13 Combine like terms: -1p + 6p = 5p 13 + 5p = p + 13 Reorder the terms: 13 + 5p = 13 + p Add '-13' to each side of the equation. 13 + -13 + 5p = 13 + -13 + p Combine like terms: 13 + -13 = 0 0 + 5p = 13 + -13 + p 5p = 13 + -13 + p Combine like terms: 13 + -13 = 0 5p = 0 + p 5p = p Solving 5p = 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. 5p + -1p = p + -1p Combine like terms: 5p + -1p = 4p 4p = p + -1p Combine like terms: p + -1p = 0 4p = 0 Divide each side by '4'. p = 0 Simplifying p = 0
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