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Simplifying 2d + -1(4d + -10) = 3d Reorder the terms: 2d + -1(-10 + 4d) = 3d 2d + (-10 * -1 + 4d * -1) = 3d 2d + (10 + -4d) = 3d Reorder the terms: 10 + 2d + -4d = 3d Combine like terms: 2d + -4d = -2d 10 + -2d = 3d Solving 10 + -2d = 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 10 + -2d + -3d = 3d + -3d Combine like terms: -2d + -3d = -5d 10 + -5d = 3d + -3d Combine like terms: 3d + -3d = 0 10 + -5d = 0 Add '-10' to each side of the equation. 10 + -10 + -5d = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5d = 0 + -10 -5d = 0 + -10 Combine like terms: 0 + -10 = -10 -5d = -10 Divide each side by '-5'. d = 2 Simplifying d = 2
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