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Simplifying -8(-6p + -2) + -1(p + -7) = 23 Reorder the terms: -8(-2 + -6p) + -1(p + -7) = 23 (-2 * -8 + -6p * -8) + -1(p + -7) = 23 (16 + 48p) + -1(p + -7) = 23 Reorder the terms: 16 + 48p + -1(-7 + p) = 23 16 + 48p + (-7 * -1 + p * -1) = 23 16 + 48p + (7 + -1p) = 23 Reorder the terms: 16 + 7 + 48p + -1p = 23 Combine like terms: 16 + 7 = 23 23 + 48p + -1p = 23 Combine like terms: 48p + -1p = 47p 23 + 47p = 23 Add '-23' to each side of the equation. 23 + -23 + 47p = 23 + -23 Combine like terms: 23 + -23 = 0 0 + 47p = 23 + -23 47p = 23 + -23 Combine like terms: 23 + -23 = 0 47p = 0 Solving 47p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Divide each side by '47'. p = 0 Simplifying p = 0
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