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Simplifying (30 + -6d) + (2d + 2) = 0 Remove parenthesis around (30 + -6d) 30 + -6d + (2d + 2) = 0 Reorder the terms: 30 + -6d + (2 + 2d) = 0 Remove parenthesis around (2 + 2d) 30 + -6d + 2 + 2d = 0 Reorder the terms: 30 + 2 + -6d + 2d = 0 Combine like terms: 30 + 2 = 32 32 + -6d + 2d = 0 Combine like terms: -6d + 2d = -4d 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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