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Simplifying 7d + 4[10 + -3(d + 4)] = 0 Reorder the terms: 7d + 4[10 + -3(4 + d)] = 0 7d + 4[10 + (4 * -3 + d * -3)] = 0 7d + 4[10 + (-12 + -3d)] = 0 Combine like terms: 10 + -12 = -2 7d + 4[-2 + -3d] = 0 7d + [-2 * 4 + -3d * 4] = 0 7d + [-8 + -12d] = 0 Reorder the terms: -8 + 7d + -12d = 0 Combine like terms: 7d + -12d = -5d -8 + -5d = 0 Solving -8 + -5d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5d = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5d = 0 + 8 -5d = 0 + 8 Combine like terms: 0 + 8 = 8 -5d = 8 Divide each side by '-5'. d = -1.6 Simplifying d = -1.6
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