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Simplifying -0.16p + -0.04(6 + -6p) = 0.04(p + -5) + -0.28 -0.16p + (6 * -0.04 + -6p * -0.04) = 0.04(p + -5) + -0.28 -0.16p + (-0.24 + 0.24p) = 0.04(p + -5) + -0.28 Reorder the terms: -0.24 + -0.16p + 0.24p = 0.04(p + -5) + -0.28 Combine like terms: -0.16p + 0.24p = 0.08p -0.24 + 0.08p = 0.04(p + -5) + -0.28 Reorder the terms: -0.24 + 0.08p = 0.04(-5 + p) + -0.28 -0.24 + 0.08p = (-5 * 0.04 + p * 0.04) + -0.28 -0.24 + 0.08p = (-0.2 + 0.04p) + -0.28 Reorder the terms: -0.24 + 0.08p = -0.2 + -0.28 + 0.04p Combine like terms: -0.2 + -0.28 = -0.48 -0.24 + 0.08p = -0.48 + 0.04p Solving -0.24 + 0.08p = -0.48 + 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. -0.24 + 0.08p + -0.04p = -0.48 + 0.04p + -0.04p Combine like terms: 0.08p + -0.04p = 0.04p -0.24 + 0.04p = -0.48 + 0.04p + -0.04p Combine like terms: 0.04p + -0.04p = 0.00 -0.24 + 0.04p = -0.48 + 0.00 -0.24 + 0.04p = -0.48 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.04p = -0.48 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.04p = -0.48 + 0.24 0.04p = -0.48 + 0.24 Combine like terms: -0.48 + 0.24 = -0.24 0.04p = -0.24 Divide each side by '0.04'. p = -6 Simplifying p = -6
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