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Simplifying 0.5(p + 2) = 0.75(p + -2) Reorder the terms: 0.5(2 + p) = 0.75(p + -2) (2 * 0.5 + p * 0.5) = 0.75(p + -2) (1 + 0.5p) = 0.75(p + -2) Reorder the terms: 1 + 0.5p = 0.75(-2 + p) 1 + 0.5p = (-2 * 0.75 + p * 0.75) 1 + 0.5p = (-1.5 + 0.75p) Solving 1 + 0.5p = -1.5 + 0.75p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.75p' to each side of the equation. 1 + 0.5p + -0.75p = -1.5 + 0.75p + -0.75p Combine like terms: 0.5p + -0.75p = -0.25p 1 + -0.25p = -1.5 + 0.75p + -0.75p Combine like terms: 0.75p + -0.75p = 0.00 1 + -0.25p = -1.5 + 0.00 1 + -0.25p = -1.5 Add '-1' to each side of the equation. 1 + -1 + -0.25p = -1.5 + -1 Combine like terms: 1 + -1 = 0 0 + -0.25p = -1.5 + -1 -0.25p = -1.5 + -1 Combine like terms: -1.5 + -1 = -2.5 -0.25p = -2.5 Divide each side by '-0.25'. p = 10 Simplifying p = 10
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