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Simplifying 2 + 2(d + -3(d + -5)) = 0 Reorder the terms: 2 + 2(d + -3(-5 + d)) = 0 2 + 2(d + (-5 * -3 + d * -3)) = 0 2 + 2(d + (15 + -3d)) = 0 Reorder the terms: 2 + 2(15 + d + -3d) = 0 Combine like terms: d + -3d = -2d 2 + 2(15 + -2d) = 0 2 + (15 * 2 + -2d * 2) = 0 2 + (30 + -4d) = 0 Combine like terms: 2 + 30 = 32 32 + -4d = 0 Solving 32 + -4d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -4d = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -4d = 0 + -32 -4d = 0 + -32 Combine like terms: 0 + -32 = -32 -4d = -32 Divide each side by '-4'. d = 8 Simplifying d = 8
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