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Simplifying 0.5(10 + -1p) = 0.4(p + -6.25) (10 * 0.5 + -1p * 0.5) = 0.4(p + -6.25) (5 + -0.5p) = 0.4(p + -6.25) Reorder the terms: 5 + -0.5p = 0.4(-6.25 + p) 5 + -0.5p = (-6.25 * 0.4 + p * 0.4) 5 + -0.5p = (-2.5 + 0.4p) Solving 5 + -0.5p = -2.5 + 0.4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.4p' to each side of the equation. 5 + -0.5p + -0.4p = -2.5 + 0.4p + -0.4p Combine like terms: -0.5p + -0.4p = -0.9p 5 + -0.9p = -2.5 + 0.4p + -0.4p Combine like terms: 0.4p + -0.4p = 0.0 5 + -0.9p = -2.5 + 0.0 5 + -0.9p = -2.5 Add '-5' to each side of the equation. 5 + -5 + -0.9p = -2.5 + -5 Combine like terms: 5 + -5 = 0 0 + -0.9p = -2.5 + -5 -0.9p = -2.5 + -5 Combine like terms: -2.5 + -5 = -7.5 -0.9p = -7.5 Divide each side by '-0.9'. p = 8.333333333 Simplifying p = 8.333333333
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