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Simplifying 19 = -23 + 6(2 + -1p) 19 = -23 + (2 * 6 + -1p * 6) 19 = -23 + (12 + -6p) Combine like terms: -23 + 12 = -11 19 = -11 + -6p Solving 19 = -11 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 19 + 6p = -11 + -6p + 6p Combine like terms: -6p + 6p = 0 19 + 6p = -11 + 0 19 + 6p = -11 Add '-19' to each side of the equation. 19 + -19 + 6p = -11 + -19 Combine like terms: 19 + -19 = 0 0 + 6p = -11 + -19 6p = -11 + -19 Combine like terms: -11 + -19 = -30 6p = -30 Divide each side by '6'. p = -5 Simplifying p = -5
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