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Simplifying 4(d + -4) + 3(d + 7) = 0 Reorder the terms: 4(-4 + d) + 3(d + 7) = 0 (-4 * 4 + d * 4) + 3(d + 7) = 0 (-16 + 4d) + 3(d + 7) = 0 Reorder the terms: -16 + 4d + 3(7 + d) = 0 -16 + 4d + (7 * 3 + d * 3) = 0 -16 + 4d + (21 + 3d) = 0 Reorder the terms: -16 + 21 + 4d + 3d = 0 Combine like terms: -16 + 21 = 5 5 + 4d + 3d = 0 Combine like terms: 4d + 3d = 7d 5 + 7d = 0 Solving 5 + 7d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7d = 0 + -5 7d = 0 + -5 Combine like terms: 0 + -5 = -5 7d = -5 Divide each side by '7'. d = -0.7142857143 Simplifying d = -0.7142857143
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