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Simplifying -34 = 6(8d + 5) Reorder the terms: -34 = 6(5 + 8d) -34 = (5 * 6 + 8d * 6) -34 = (30 + 48d) Solving -34 = 30 + 48d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-48d' to each side of the equation. -34 + -48d = 30 + 48d + -48d Combine like terms: 48d + -48d = 0 -34 + -48d = 30 + 0 -34 + -48d = 30 Add '34' to each side of the equation. -34 + 34 + -48d = 30 + 34 Combine like terms: -34 + 34 = 0 0 + -48d = 30 + 34 -48d = 30 + 34 Combine like terms: 30 + 34 = 64 -48d = 64 Divide each side by '-48'. d = -1.333333333 Simplifying d = -1.333333333
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