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Simplifying 5[3d + 5f + 7] = 0 Reorder the terms: 5[7 + 3d + 5f] = 0 [7 * 5 + 3d * 5 + 5f * 5] = 0 [35 + 15d + 25f] = 0 Solving 35 + 15d + 25f = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 15d + -35 + 25f = 0 + -35 Reorder the terms: 35 + -35 + 15d + 25f = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 15d + 25f = 0 + -35 15d + 25f = 0 + -35 Combine like terms: 0 + -35 = -35 15d + 25f = -35 Add '-25f' to each side of the equation. 15d + 25f + -25f = -35 + -25f Combine like terms: 25f + -25f = 0 15d + 0 = -35 + -25f 15d = -35 + -25f Divide each side by '15'. d = -2.333333333 + -1.666666667f Simplifying d = -2.333333333 + -1.666666667f
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