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Simplifying 15d + -6(2d + -5) + -7 = 0 Reorder the terms: 15d + -6(-5 + 2d) + -7 = 0 15d + (-5 * -6 + 2d * -6) + -7 = 0 15d + (30 + -12d) + -7 = 0 Reorder the terms: 30 + -7 + 15d + -12d = 0 Combine like terms: 30 + -7 = 23 23 + 15d + -12d = 0 Combine like terms: 15d + -12d = 3d 23 + 3d = 0 Solving 23 + 3d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 3d = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 3d = 0 + -23 3d = 0 + -23 Combine like terms: 0 + -23 = -23 3d = -23 Divide each side by '3'. d = -7.666666667 Simplifying d = -7.666666667
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