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Simplifying 3(d + 1) + -9d = 6 Reorder the terms: 3(1 + d) + -9d = 6 (1 * 3 + d * 3) + -9d = 6 (3 + 3d) + -9d = 6 Combine like terms: 3d + -9d = -6d 3 + -6d = 6 Solving 3 + -6d = 6 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 + -6d = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -6d = 6 + -3 -6d = 6 + -3 Combine like terms: 6 + -3 = 3 -6d = 3 Divide each side by '-6'. d = -0.5 Simplifying d = -0.5
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