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Simplifying 2 + -2(5d + 2) + 2(3 + d) = 2 Reorder the terms: 2 + -2(2 + 5d) + 2(3 + d) = 2 2 + (2 * -2 + 5d * -2) + 2(3 + d) = 2 2 + (-4 + -10d) + 2(3 + d) = 2 2 + -4 + -10d + (3 * 2 + d * 2) = 2 2 + -4 + -10d + (6 + 2d) = 2 Reorder the terms: 2 + -4 + 6 + -10d + 2d = 2 Combine like terms: 2 + -4 = -2 -2 + 6 + -10d + 2d = 2 Combine like terms: -2 + 6 = 4 4 + -10d + 2d = 2 Combine like terms: -10d + 2d = -8d 4 + -8d = 2 Solving 4 + -8d = 2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -8d = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -8d = 2 + -4 -8d = 2 + -4 Combine like terms: 2 + -4 = -2 -8d = -2 Divide each side by '-8'. d = 0.25 Simplifying d = 0.25
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