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Simplifying 3(d + 2) + 4(d + -2) = 0 Reorder the terms: 3(2 + d) + 4(d + -2) = 0 (2 * 3 + d * 3) + 4(d + -2) = 0 (6 + 3d) + 4(d + -2) = 0 Reorder the terms: 6 + 3d + 4(-2 + d) = 0 6 + 3d + (-2 * 4 + d * 4) = 0 6 + 3d + (-8 + 4d) = 0 Reorder the terms: 6 + -8 + 3d + 4d = 0 Combine like terms: 6 + -8 = -2 -2 + 3d + 4d = 0 Combine like terms: 3d + 4d = 7d -2 + 7d = 0 Solving -2 + 7d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7d = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7d = 0 + 2 7d = 0 + 2 Combine like terms: 0 + 2 = 2 7d = 2 Divide each side by '7'. d = 0.2857142857 Simplifying d = 0.2857142857
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