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Simplifying -0.04p + -0.04(4 + -3p) = 0.03(p + -4) + -0.04 -0.04p + (4 * -0.04 + -3p * -0.04) = 0.03(p + -4) + -0.04 -0.04p + (-0.16 + 0.12p) = 0.03(p + -4) + -0.04 Reorder the terms: -0.16 + -0.04p + 0.12p = 0.03(p + -4) + -0.04 Combine like terms: -0.04p + 0.12p = 0.08p -0.16 + 0.08p = 0.03(p + -4) + -0.04 Reorder the terms: -0.16 + 0.08p = 0.03(-4 + p) + -0.04 -0.16 + 0.08p = (-4 * 0.03 + p * 0.03) + -0.04 -0.16 + 0.08p = (-0.12 + 0.03p) + -0.04 Reorder the terms: -0.16 + 0.08p = -0.12 + -0.04 + 0.03p Combine like terms: -0.12 + -0.04 = -0.16 -0.16 + 0.08p = -0.16 + 0.03p Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.08p = -0.16 + 0.16 + 0.03p Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.08p = -0.16 + 0.16 + 0.03p 0.08p = -0.16 + 0.16 + 0.03p Combine like terms: -0.16 + 0.16 = 0.00 0.08p = 0.00 + 0.03p 0.08p = 0.03p Solving 0.08p = 0.03p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.03p' to each side of the equation. 0.08p + -0.03p = 0.03p + -0.03p Combine like terms: 0.08p + -0.03p = 0.05p 0.05p = 0.03p + -0.03p Combine like terms: 0.03p + -0.03p = 0.00 0.05p = 0.00 Divide each side by '0.05'. p = 0 Simplifying p = 0
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