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Simplifying 2 + -1(p + -5) + 7p = -5 Reorder the terms: 2 + -1(-5 + p) + 7p = -5 2 + (-5 * -1 + p * -1) + 7p = -5 2 + (5 + -1p) + 7p = -5 Combine like terms: 2 + 5 = 7 7 + -1p + 7p = -5 Combine like terms: -1p + 7p = 6p 7 + 6p = -5 Solving 7 + 6p = -5 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6p = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 6p = -5 + -7 6p = -5 + -7 Combine like terms: -5 + -7 = -12 6p = -12 Divide each side by '6'. p = -2 Simplifying p = -2
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