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Simplifying 0.5(-8 + 1) = -4p + 1 Combine like terms: -8 + 1 = -7 0.5(-7) = -4p + 1 Multiply 0.5 * -7 -3.5 = -4p + 1 Reorder the terms: -3.5 = 1 + -4p Solving -3.5 = 1 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -3.5 + 4p = 1 + -4p + 4p Combine like terms: -4p + 4p = 0 -3.5 + 4p = 1 + 0 -3.5 + 4p = 1 Add '3.5' to each side of the equation. -3.5 + 3.5 + 4p = 1 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 4p = 1 + 3.5 4p = 1 + 3.5 Combine like terms: 1 + 3.5 = 4.5 4p = 4.5 Divide each side by '4'. p = 1.125 Simplifying p = 1.125
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