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Simplifying 9d + 2 * 0.375 + -1(-6 * 0.375) + 3d + -15d = 0 Multiply 2 * 0.375 9d + 0.75 + -1(-6 * 0.375) + 3d + -15d = 0 Multiply -6 * 0.375 9d + 0.75 + -1(-2.25) + 3d + -15d = 0 Multiply -1 * -2.25 9d + 0.75 + 2.25 + 3d + -15d = 0 Reorder the terms: 0.75 + 2.25 + 9d + 3d + -15d = 0 Combine like terms: 0.75 + 2.25 = 3 3 + 9d + 3d + -15d = 0 Combine like terms: 9d + 3d = 12d 3 + 12d + -15d = 0 Combine like terms: 12d + -15d = -3d 3 + -3d = 0 Solving 3 + -3d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -3d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3d = 0 + -3 -3d = 0 + -3 Combine like terms: 0 + -3 = -3 -3d = -3 Divide each side by '-3'. d = 1 Simplifying d = 1
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