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Simplifying 0.5(-8p + 1) = -4 + 1 Reorder the terms: 0.5(1 + -8p) = -4 + 1 (1 * 0.5 + -8p * 0.5) = -4 + 1 (0.5 + -4p) = -4 + 1 Combine like terms: -4 + 1 = -3 0.5 + -4p = -3 Solving 0.5 + -4p = -3 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + -4p = -3 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -4p = -3 + -0.5 -4p = -3 + -0.5 Combine like terms: -3 + -0.5 = -3.5 -4p = -3.5 Divide each side by '-4'. p = 0.875 Simplifying p = 0.875
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