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Simplifying 2d + 14 = -2(2d + -3) Reorder the terms: 14 + 2d = -2(2d + -3) Reorder the terms: 14 + 2d = -2(-3 + 2d) 14 + 2d = (-3 * -2 + 2d * -2) 14 + 2d = (6 + -4d) Solving 14 + 2d = 6 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. 14 + 2d + 4d = 6 + -4d + 4d Combine like terms: 2d + 4d = 6d 14 + 6d = 6 + -4d + 4d Combine like terms: -4d + 4d = 0 14 + 6d = 6 + 0 14 + 6d = 6 Add '-14' to each side of the equation. 14 + -14 + 6d = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 6d = 6 + -14 6d = 6 + -14 Combine like terms: 6 + -14 = -8 6d = -8 Divide each side by '6'. d = -1.333333333 Simplifying d = -1.333333333
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