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Simplifying -2d + 5 + 6d = 21d + -1(2 + 3d) Reorder the terms: 5 + -2d + 6d = 21d + -1(2 + 3d) Combine like terms: -2d + 6d = 4d 5 + 4d = 21d + -1(2 + 3d) 5 + 4d = 21d + (2 * -1 + 3d * -1) 5 + 4d = 21d + (-2 + -3d) Reorder the terms: 5 + 4d = -2 + 21d + -3d Combine like terms: 21d + -3d = 18d 5 + 4d = -2 + 18d Solving 5 + 4d = -2 + 18d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-18d' to each side of the equation. 5 + 4d + -18d = -2 + 18d + -18d Combine like terms: 4d + -18d = -14d 5 + -14d = -2 + 18d + -18d Combine like terms: 18d + -18d = 0 5 + -14d = -2 + 0 5 + -14d = -2 Add '-5' to each side of the equation. 5 + -5 + -14d = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -14d = -2 + -5 -14d = -2 + -5 Combine like terms: -2 + -5 = -7 -14d = -7 Divide each side by '-14'. d = 0.5 Simplifying d = 0.5
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