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Simplifying -2(9d + -8) = 34 + 6d Reorder the terms: -2(-8 + 9d) = 34 + 6d (-8 * -2 + 9d * -2) = 34 + 6d (16 + -18d) = 34 + 6d Solving 16 + -18d = 34 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 16 + -18d + -6d = 34 + 6d + -6d Combine like terms: -18d + -6d = -24d 16 + -24d = 34 + 6d + -6d Combine like terms: 6d + -6d = 0 16 + -24d = 34 + 0 16 + -24d = 34 Add '-16' to each side of the equation. 16 + -16 + -24d = 34 + -16 Combine like terms: 16 + -16 = 0 0 + -24d = 34 + -16 -24d = 34 + -16 Combine like terms: 34 + -16 = 18 -24d = 18 Divide each side by '-24'. d = -0.75 Simplifying d = -0.75
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