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Simplifying 7p + 6(4.755 + 1.666d) = 2853 7p + (4.755 * 6 + 1.666d * 6) = 2853 7p + (28.53 + 9.996d) = 2853 Reorder the terms: 28.53 + 9.996d + 7p = 2853 Solving 28.53 + 9.996d + 7p = 2853 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-28.53' to each side of the equation. 28.53 + 9.996d + -28.53 + 7p = 2853 + -28.53 Reorder the terms: 28.53 + -28.53 + 9.996d + 7p = 2853 + -28.53 Combine like terms: 28.53 + -28.53 = 0.00 0.00 + 9.996d + 7p = 2853 + -28.53 9.996d + 7p = 2853 + -28.53 Combine like terms: 2853 + -28.53 = 2824.47 9.996d + 7p = 2824.47 Add '-7p' to each side of the equation. 9.996d + 7p + -7p = 2824.47 + -7p Combine like terms: 7p + -7p = 0 9.996d + 0 = 2824.47 + -7p 9.996d = 2824.47 + -7p Divide each side by '9.996'. d = 282.560024 + -0.700280112p Simplifying d = 282.560024 + -0.700280112p
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