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Simplifying 0.025p + -2 = 0.15(p + -10) Reorder the terms: -2 + 0.025p = 0.15(p + -10) Reorder the terms: -2 + 0.025p = 0.15(-10 + p) -2 + 0.025p = (-10 * 0.15 + p * 0.15) -2 + 0.025p = (-1.5 + 0.15p) Solving -2 + 0.025p = -1.5 + 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. -2 + 0.025p + -0.15p = -1.5 + 0.15p + -0.15p Combine like terms: 0.025p + -0.15p = -0.125p -2 + -0.125p = -1.5 + 0.15p + -0.15p Combine like terms: 0.15p + -0.15p = 0.00 -2 + -0.125p = -1.5 + 0.00 -2 + -0.125p = -1.5 Add '2' to each side of the equation. -2 + 2 + -0.125p = -1.5 + 2 Combine like terms: -2 + 2 = 0 0 + -0.125p = -1.5 + 2 -0.125p = -1.5 + 2 Combine like terms: -1.5 + 2 = 0.5 -0.125p = 0.5 Divide each side by '-0.125'. p = -4 Simplifying p = -4
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