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Simplifying 2(d + 5) + -4(d + -5) = 0 Reorder the terms: 2(5 + d) + -4(d + -5) = 0 (5 * 2 + d * 2) + -4(d + -5) = 0 (10 + 2d) + -4(d + -5) = 0 Reorder the terms: 10 + 2d + -4(-5 + d) = 0 10 + 2d + (-5 * -4 + d * -4) = 0 10 + 2d + (20 + -4d) = 0 Reorder the terms: 10 + 20 + 2d + -4d = 0 Combine like terms: 10 + 20 = 30 30 + 2d + -4d = 0 Combine like terms: 2d + -4d = -2d 30 + -2d = 0 Solving 30 + -2d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -2d = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -2d = 0 + -30 -2d = 0 + -30 Combine like terms: 0 + -30 = -30 -2d = -30 Divide each side by '-2'. d = 15 Simplifying d = 15
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