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Simplifying -8 + -6(p + 1) = 6p + -14 Reorder the terms: -8 + -6(1 + p) = 6p + -14 -8 + (1 * -6 + p * -6) = 6p + -14 -8 + (-6 + -6p) = 6p + -14 Combine like terms: -8 + -6 = -14 -14 + -6p = 6p + -14 Reorder the terms: -14 + -6p = -14 + 6p Add '14' to each side of the equation. -14 + 14 + -6p = -14 + 14 + 6p Combine like terms: -14 + 14 = 0 0 + -6p = -14 + 14 + 6p -6p = -14 + 14 + 6p Combine like terms: -14 + 14 = 0 -6p = 0 + 6p -6p = 6p Solving -6p = 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. -6p + -6p = 6p + -6p Combine like terms: -6p + -6p = -12p -12p = 6p + -6p Combine like terms: 6p + -6p = 0 -12p = 0 Divide each side by '-12'. p = 0 Simplifying p = 0
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