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Simplifying -5d + 6(2 + -6d) = 4 + -14d -5d + (2 * 6 + -6d * 6) = 4 + -14d -5d + (12 + -36d) = 4 + -14d Reorder the terms: 12 + -5d + -36d = 4 + -14d Combine like terms: -5d + -36d = -41d 12 + -41d = 4 + -14d Solving 12 + -41d = 4 + -14d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '14d' to each side of the equation. 12 + -41d + 14d = 4 + -14d + 14d Combine like terms: -41d + 14d = -27d 12 + -27d = 4 + -14d + 14d Combine like terms: -14d + 14d = 0 12 + -27d = 4 + 0 12 + -27d = 4 Add '-12' to each side of the equation. 12 + -12 + -27d = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -27d = 4 + -12 -27d = 4 + -12 Combine like terms: 4 + -12 = -8 -27d = -8 Divide each side by '-27'. d = 0.2962962963 Simplifying d = 0.2962962963
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