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Simplifying 0.5(4200) + 0.08p = 0.6(4200 + p) Multiply 0.5 * 4200 2100 + 0.08p = 0.6(4200 + p) 2100 + 0.08p = (4200 * 0.6 + p * 0.6) 2100 + 0.08p = (2520 + 0.6p) Solving 2100 + 0.08p = 2520 + 0.6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.6p' to each side of the equation. 2100 + 0.08p + -0.6p = 2520 + 0.6p + -0.6p Combine like terms: 0.08p + -0.6p = -0.52p 2100 + -0.52p = 2520 + 0.6p + -0.6p Combine like terms: 0.6p + -0.6p = 0.0 2100 + -0.52p = 2520 + 0.0 2100 + -0.52p = 2520 Add '-2100' to each side of the equation. 2100 + -2100 + -0.52p = 2520 + -2100 Combine like terms: 2100 + -2100 = 0 0 + -0.52p = 2520 + -2100 -0.52p = 2520 + -2100 Combine like terms: 2520 + -2100 = 420 -0.52p = 420 Divide each side by '-0.52'. p = -807.6923077 Simplifying p = -807.6923077
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