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Simplifying 34 = 6 + 4(d + -8) Reorder the terms: 34 = 6 + 4(-8 + d) 34 = 6 + (-8 * 4 + d * 4) 34 = 6 + (-32 + 4d) Combine like terms: 6 + -32 = -26 34 = -26 + 4d Solving 34 = -26 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 34 + -4d = -26 + 4d + -4d Combine like terms: 4d + -4d = 0 34 + -4d = -26 + 0 34 + -4d = -26 Add '-34' to each side of the equation. 34 + -34 + -4d = -26 + -34 Combine like terms: 34 + -34 = 0 0 + -4d = -26 + -34 -4d = -26 + -34 Combine like terms: -26 + -34 = -60 -4d = -60 Divide each side by '-4'. d = 15 Simplifying d = 15
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