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Simplifying -34 + -3d = 8(2d + 5) Reorder the terms: -34 + -3d = 8(5 + 2d) -34 + -3d = (5 * 8 + 2d * 8) -34 + -3d = (40 + 16d) Solving -34 + -3d = 40 + 16d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-16d' to each side of the equation. -34 + -3d + -16d = 40 + 16d + -16d Combine like terms: -3d + -16d = -19d -34 + -19d = 40 + 16d + -16d Combine like terms: 16d + -16d = 0 -34 + -19d = 40 + 0 -34 + -19d = 40 Add '34' to each side of the equation. -34 + 34 + -19d = 40 + 34 Combine like terms: -34 + 34 = 0 0 + -19d = 40 + 34 -19d = 40 + 34 Combine like terms: 40 + 34 = 74 -19d = 74 Divide each side by '-19'. d = -3.894736842 Simplifying d = -3.894736842
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