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Simplifying p + -3 = -1(0.5p + 2) Reorder the terms: -3 + p = -1(0.5p + 2) Reorder the terms: -3 + p = -1(2 + 0.5p) -3 + p = (2 * -1 + 0.5p * -1) -3 + p = (-2 + -0.5p) Solving -3 + p = -2 + -0.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '0.5p' to each side of the equation. -3 + p + 0.5p = -2 + -0.5p + 0.5p Combine like terms: p + 0.5p = 1.5p -3 + 1.5p = -2 + -0.5p + 0.5p Combine like terms: -0.5p + 0.5p = 0.0 -3 + 1.5p = -2 + 0.0 -3 + 1.5p = -2 Add '3' to each side of the equation. -3 + 3 + 1.5p = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 1.5p = -2 + 3 1.5p = -2 + 3 Combine like terms: -2 + 3 = 1 1.5p = 1 Divide each side by '1.5'. p = 0.6666666667 Simplifying p = 0.6666666667
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