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Simplifying 8 + 5p + -1(5p + 8) + -1(5p + 6) = 0 Reorder the terms: 8 + 5p + -1(8 + 5p) + -1(5p + 6) = 0 8 + 5p + (8 * -1 + 5p * -1) + -1(5p + 6) = 0 8 + 5p + (-8 + -5p) + -1(5p + 6) = 0 Reorder the terms: 8 + 5p + -8 + -5p + -1(6 + 5p) = 0 8 + 5p + -8 + -5p + (6 * -1 + 5p * -1) = 0 8 + 5p + -8 + -5p + (-6 + -5p) = 0 Reorder the terms: 8 + -8 + -6 + 5p + -5p + -5p = 0 Combine like terms: 8 + -8 = 0 0 + -6 + 5p + -5p + -5p = 0 -6 + 5p + -5p + -5p = 0 Combine like terms: 5p + -5p = 0 -6 + 0 + -5p = 0 -6 + -5p = 0 Solving -6 + -5p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5p = 0 + 6 -5p = 0 + 6 Combine like terms: 0 + 6 = 6 -5p = 6 Divide each side by '-5'. p = -1.2 Simplifying p = -1.2
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