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Simplifying 2(d + 3) + 4(d + -7) = 0 Reorder the terms: 2(3 + d) + 4(d + -7) = 0 (3 * 2 + d * 2) + 4(d + -7) = 0 (6 + 2d) + 4(d + -7) = 0 Reorder the terms: 6 + 2d + 4(-7 + d) = 0 6 + 2d + (-7 * 4 + d * 4) = 0 6 + 2d + (-28 + 4d) = 0 Reorder the terms: 6 + -28 + 2d + 4d = 0 Combine like terms: 6 + -28 = -22 -22 + 2d + 4d = 0 Combine like terms: 2d + 4d = 6d -22 + 6d = 0 Solving -22 + 6d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 6d = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 6d = 0 + 22 6d = 0 + 22 Combine like terms: 0 + 22 = 22 6d = 22 Divide each side by '6'. d = 3.666666667 Simplifying d = 3.666666667
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