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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 = -1 -1 + -1p + 6p = p + 13 Combine like terms: -1p + 6p = 5p -1 + 5p = p + 13 Reorder the terms: -1 + 5p = 13 + p Solving -1 + 5p = 13 + 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. -1 + 5p + -1p = 13 + p + -1p Combine like terms: 5p + -1p = 4p -1 + 4p = 13 + p + -1p Combine like terms: p + -1p = 0 -1 + 4p = 13 + 0 -1 + 4p = 13 Add '1' to each side of the equation. -1 + 1 + 4p = 13 + 1 Combine like terms: -1 + 1 = 0 0 + 4p = 13 + 1 4p = 13 + 1 Combine like terms: 13 + 1 = 14 4p = 14 Divide each side by '4'. p = 3.5 Simplifying p = 3.5
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