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Simplifying -84 = -8 + 2(8p + -6) Reorder the terms: -84 = -8 + 2(-6 + 8p) -84 = -8 + (-6 * 2 + 8p * 2) -84 = -8 + (-12 + 16p) Combine like terms: -8 + -12 = -20 -84 = -20 + 16p Solving -84 = -20 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -84 + -16p = -20 + 16p + -16p Combine like terms: 16p + -16p = 0 -84 + -16p = -20 + 0 -84 + -16p = -20 Add '84' to each side of the equation. -84 + 84 + -16p = -20 + 84 Combine like terms: -84 + 84 = 0 0 + -16p = -20 + 84 -16p = -20 + 84 Combine like terms: -20 + 84 = 64 -16p = 64 Divide each side by '-16'. p = -4 Simplifying p = -4
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