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Simplifying (6d + 5) + -1(-2 + -3d) = 0 Reorder the terms: (5 + 6d) + -1(-2 + -3d) = 0 Remove parenthesis around (5 + 6d) 5 + 6d + -1(-2 + -3d) = 0 5 + 6d + (-2 * -1 + -3d * -1) = 0 5 + 6d + (2 + 3d) = 0 Reorder the terms: 5 + 2 + 6d + 3d = 0 Combine like terms: 5 + 2 = 7 7 + 6d + 3d = 0 Combine like terms: 6d + 3d = 9d 7 + 9d = 0 Solving 7 + 9d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9d = 0 + -7 9d = 0 + -7 Combine like terms: 0 + -7 = -7 9d = -7 Divide each side by '9'. d = -0.7777777778 Simplifying d = -0.7777777778
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