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Simplifying 10d + -2(2d + -3) = 12 Reorder the terms: 10d + -2(-3 + 2d) = 12 10d + (-3 * -2 + 2d * -2) = 12 10d + (6 + -4d) = 12 Reorder the terms: 6 + 10d + -4d = 12 Combine like terms: 10d + -4d = 6d 6 + 6d = 12 Solving 6 + 6d = 12 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6d = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 6d = 12 + -6 6d = 12 + -6 Combine like terms: 12 + -6 = 6 6d = 6 Divide each side by '6'. d = 1 Simplifying d = 1
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