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Simplifying 52d + 26e + 65f + 13g = 0 Solving 52d + 26e + 65f + 13g = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-26e' to each side of the equation. 52d + 26e + 65f + -26e + 13g = 0 + -26e Reorder the terms: 52d + 26e + -26e + 65f + 13g = 0 + -26e Combine like terms: 26e + -26e = 0 52d + 0 + 65f + 13g = 0 + -26e 52d + 65f + 13g = 0 + -26e Remove the zero: 52d + 65f + 13g = -26e Add '-65f' to each side of the equation. 52d + 65f + -65f + 13g = -26e + -65f Combine like terms: 65f + -65f = 0 52d + 0 + 13g = -26e + -65f 52d + 13g = -26e + -65f Add '-13g' to each side of the equation. 52d + 13g + -13g = -26e + -65f + -13g Combine like terms: 13g + -13g = 0 52d + 0 = -26e + -65f + -13g 52d = -26e + -65f + -13g Divide each side by '52'. d = -0.5e + -1.25f + -0.25g Simplifying d = -0.5e + -1.25f + -0.25g
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