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Simplifying 34 = 7(4d + 6) Reorder the terms: 34 = 7(6 + 4d) 34 = (6 * 7 + 4d * 7) 34 = (42 + 28d) Solving 34 = 42 + 28d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-28d' to each side of the equation. 34 + -28d = 42 + 28d + -28d Combine like terms: 28d + -28d = 0 34 + -28d = 42 + 0 34 + -28d = 42 Add '-34' to each side of the equation. 34 + -34 + -28d = 42 + -34 Combine like terms: 34 + -34 = 0 0 + -28d = 42 + -34 -28d = 42 + -34 Combine like terms: 42 + -34 = 8 -28d = 8 Divide each side by '-28'. d = -0.2857142857 Simplifying d = -0.2857142857
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