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Simplifying -3 + -7p = -1(8p + 6) Reorder the terms: -3 + -7p = -1(6 + 8p) -3 + -7p = (6 * -1 + 8p * -1) -3 + -7p = (-6 + -8p) Solving -3 + -7p = -6 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -3 + -7p + 8p = -6 + -8p + 8p Combine like terms: -7p + 8p = 1p -3 + 1p = -6 + -8p + 8p Combine like terms: -8p + 8p = 0 -3 + 1p = -6 + 0 -3 + 1p = -6 Add '3' to each side of the equation. -3 + 3 + 1p = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 1p = -6 + 3 1p = -6 + 3 Combine like terms: -6 + 3 = -3 1p = -3 Divide each side by '1'. p = -3 Simplifying p = -3
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