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Simplifying 0.025p + -4 = 0.15(p + -15) Reorder the terms: -4 + 0.025p = 0.15(p + -15) Reorder the terms: -4 + 0.025p = 0.15(-15 + p) -4 + 0.025p = (-15 * 0.15 + p * 0.15) -4 + 0.025p = (-2.25 + 0.15p) Solving -4 + 0.025p = -2.25 + 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. -4 + 0.025p + -0.15p = -2.25 + 0.15p + -0.15p Combine like terms: 0.025p + -0.15p = -0.125p -4 + -0.125p = -2.25 + 0.15p + -0.15p Combine like terms: 0.15p + -0.15p = 0.00 -4 + -0.125p = -2.25 + 0.00 -4 + -0.125p = -2.25 Add '4' to each side of the equation. -4 + 4 + -0.125p = -2.25 + 4 Combine like terms: -4 + 4 = 0 0 + -0.125p = -2.25 + 4 -0.125p = -2.25 + 4 Combine like terms: -2.25 + 4 = 1.75 -0.125p = 1.75 Divide each side by '-0.125'. p = -14 Simplifying p = -14
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