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Simplifying -0.16p + -0.05(2 + -5p) = 0.04(p + -5) + -0.25 -0.16p + (2 * -0.05 + -5p * -0.05) = 0.04(p + -5) + -0.25 -0.16p + (-0.1 + 0.25p) = 0.04(p + -5) + -0.25 Reorder the terms: -0.1 + -0.16p + 0.25p = 0.04(p + -5) + -0.25 Combine like terms: -0.16p + 0.25p = 0.09p -0.1 + 0.09p = 0.04(p + -5) + -0.25 Reorder the terms: -0.1 + 0.09p = 0.04(-5 + p) + -0.25 -0.1 + 0.09p = (-5 * 0.04 + p * 0.04) + -0.25 -0.1 + 0.09p = (-0.2 + 0.04p) + -0.25 Reorder the terms: -0.1 + 0.09p = -0.2 + -0.25 + 0.04p Combine like terms: -0.2 + -0.25 = -0.45 -0.1 + 0.09p = -0.45 + 0.04p Solving -0.1 + 0.09p = -0.45 + 0.04p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.04p' to each side of the equation. -0.1 + 0.09p + -0.04p = -0.45 + 0.04p + -0.04p Combine like terms: 0.09p + -0.04p = 0.05p -0.1 + 0.05p = -0.45 + 0.04p + -0.04p Combine like terms: 0.04p + -0.04p = 0.00 -0.1 + 0.05p = -0.45 + 0.00 -0.1 + 0.05p = -0.45 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.05p = -0.45 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.05p = -0.45 + 0.1 0.05p = -0.45 + 0.1 Combine like terms: -0.45 + 0.1 = -0.35 0.05p = -0.35 Divide each side by '0.05'. p = -7 Simplifying p = -7
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