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Simplifying -0.5(p + 2) = -3 + p Reorder the terms: -0.5(2 + p) = -3 + p (2 * -0.5 + p * -0.5) = -3 + p (-1 + -0.5p) = -3 + p Solving -1 + -0.5p = -3 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -1 + -0.5p + -1p = -3 + p + -1p Combine like terms: -0.5p + -1p = -1.5p -1 + -1.5p = -3 + p + -1p Combine like terms: p + -1p = 0 -1 + -1.5p = -3 + 0 -1 + -1.5p = -3 Add '1' to each side of the equation. -1 + 1 + -1.5p = -3 + 1 Combine like terms: -1 + 1 = 0 0 + -1.5p = -3 + 1 -1.5p = -3 + 1 Combine like terms: -3 + 1 = -2 -1.5p = -2 Divide each side by '-1.5'. p = 1.333333333 Simplifying p = 1.333333333
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