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Simplifying -0.16p + -0.05(5 + -5p) = 0.05(p + -2) + -0.35 -0.16p + (5 * -0.05 + -5p * -0.05) = 0.05(p + -2) + -0.35 -0.16p + (-0.25 + 0.25p) = 0.05(p + -2) + -0.35 Reorder the terms: -0.25 + -0.16p + 0.25p = 0.05(p + -2) + -0.35 Combine like terms: -0.16p + 0.25p = 0.09p -0.25 + 0.09p = 0.05(p + -2) + -0.35 Reorder the terms: -0.25 + 0.09p = 0.05(-2 + p) + -0.35 -0.25 + 0.09p = (-2 * 0.05 + p * 0.05) + -0.35 -0.25 + 0.09p = (-0.1 + 0.05p) + -0.35 Reorder the terms: -0.25 + 0.09p = -0.1 + -0.35 + 0.05p Combine like terms: -0.1 + -0.35 = -0.45 -0.25 + 0.09p = -0.45 + 0.05p Solving -0.25 + 0.09p = -0.45 + 0.05p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.05p' to each side of the equation. -0.25 + 0.09p + -0.05p = -0.45 + 0.05p + -0.05p Combine like terms: 0.09p + -0.05p = 0.04p -0.25 + 0.04p = -0.45 + 0.05p + -0.05p Combine like terms: 0.05p + -0.05p = 0.00 -0.25 + 0.04p = -0.45 + 0.00 -0.25 + 0.04p = -0.45 Add '0.25' to each side of the equation. -0.25 + 0.25 + 0.04p = -0.45 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + 0.04p = -0.45 + 0.25 0.04p = -0.45 + 0.25 Combine like terms: -0.45 + 0.25 = -0.2 0.04p = -0.2 Divide each side by '0.04'. p = -5 Simplifying p = -5
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