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Simplifying 0.25p + -1 = 0.15(p + -3) Reorder the terms: -1 + 0.25p = 0.15(p + -3) Reorder the terms: -1 + 0.25p = 0.15(-3 + p) -1 + 0.25p = (-3 * 0.15 + p * 0.15) -1 + 0.25p = (-0.45 + 0.15p) Solving -1 + 0.25p = -0.45 + 0.15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.15p' to each side of the equation. -1 + 0.25p + -0.15p = -0.45 + 0.15p + -0.15p Combine like terms: 0.25p + -0.15p = 0.1p -1 + 0.1p = -0.45 + 0.15p + -0.15p Combine like terms: 0.15p + -0.15p = 0.00 -1 + 0.1p = -0.45 + 0.00 -1 + 0.1p = -0.45 Add '1' to each side of the equation. -1 + 1 + 0.1p = -0.45 + 1 Combine like terms: -1 + 1 = 0 0 + 0.1p = -0.45 + 1 0.1p = -0.45 + 1 Combine like terms: -0.45 + 1 = 0.55 0.1p = 0.55 Divide each side by '0.1'. p = 5.5 Simplifying p = 5.5
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