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Simplifying 0.025p + -3 = 0.15(p + -5) Reorder the terms: -3 + 0.025p = 0.15(p + -5) Reorder the terms: -3 + 0.025p = 0.15(-5 + p) -3 + 0.025p = (-5 * 0.15 + p * 0.15) -3 + 0.025p = (-0.75 + 0.15p) Solving -3 + 0.025p = -0.75 + 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. -3 + 0.025p + -0.15p = -0.75 + 0.15p + -0.15p Combine like terms: 0.025p + -0.15p = -0.125p -3 + -0.125p = -0.75 + 0.15p + -0.15p Combine like terms: 0.15p + -0.15p = 0.00 -3 + -0.125p = -0.75 + 0.00 -3 + -0.125p = -0.75 Add '3' to each side of the equation. -3 + 3 + -0.125p = -0.75 + 3 Combine like terms: -3 + 3 = 0 0 + -0.125p = -0.75 + 3 -0.125p = -0.75 + 3 Combine like terms: -0.75 + 3 = 2.25 -0.125p = 2.25 Divide each side by '-0.125'. p = -18 Simplifying p = -18
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