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Simplifying 3d + -2d + 2(3d + -2) = 34 Reorder the terms: 3d + -2d + 2(-2 + 3d) = 34 3d + -2d + (-2 * 2 + 3d * 2) = 34 3d + -2d + (-4 + 6d) = 34 Reorder the terms: -4 + 3d + -2d + 6d = 34 Combine like terms: 3d + -2d = 1d -4 + 1d + 6d = 34 Combine like terms: 1d + 6d = 7d -4 + 7d = 34 Solving -4 + 7d = 34 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7d = 34 + 4 Combine like terms: -4 + 4 = 0 0 + 7d = 34 + 4 7d = 34 + 4 Combine like terms: 34 + 4 = 38 7d = 38 Divide each side by '7'. d = 5.428571429 Simplifying d = 5.428571429
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