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Simplifying 5d + -2(4 + -3d) + -2d = 10 5d + (4 * -2 + -3d * -2) + -2d = 10 5d + (-8 + 6d) + -2d = 10 Reorder the terms: -8 + 5d + 6d + -2d = 10 Combine like terms: 5d + 6d = 11d -8 + 11d + -2d = 10 Combine like terms: 11d + -2d = 9d -8 + 9d = 10 Solving -8 + 9d = 10 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 + 9d = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 9d = 10 + 8 9d = 10 + 8 Combine like terms: 10 + 8 = 18 9d = 18 Divide each side by '9'. d = 2 Simplifying d = 2
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