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Simplifying 0.25x + 0.40(p + -1x) = 0.30p 0.25x + (p * 0.40 + -1x * 0.40) = 0.30p 0.25x + (0.40p + -0.4x) = 0.30p Reorder the terms: 0.40p + 0.25x + -0.4x = 0.30p Combine like terms: 0.25x + -0.4x = -0.15x 0.40p + -0.15x = 0.30p Solving 0.40p + -0.15x = 0.30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.30p' to each side of the equation. 0.40p + -0.30p + -0.15x = 0.30p + -0.30p Combine like terms: 0.40p + -0.30p = 0.1p 0.1p + -0.15x = 0.30p + -0.30p Combine like terms: 0.30p + -0.30p = 0.00 0.1p + -0.15x = 0.00 Add '0.15x' to each side of the equation. 0.1p + -0.15x + 0.15x = 0.00 + 0.15x Combine like terms: -0.15x + 0.15x = 0.00 0.1p + 0.00 = 0.00 + 0.15x 0.1p = 0.00 + 0.15x Remove the zero: 0.1p = 0.15x Divide each side by '0.1'. p = 1.5x Simplifying p = 1.5x
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