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Simplifying -4d + 2(5 + d) = -14 + 4d -4d + (5 * 2 + d * 2) = -14 + 4d -4d + (10 + 2d) = -14 + 4d Reorder the terms: 10 + -4d + 2d = -14 + 4d Combine like terms: -4d + 2d = -2d 10 + -2d = -14 + 4d Solving 10 + -2d = -14 + 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. 10 + -2d + -4d = -14 + 4d + -4d Combine like terms: -2d + -4d = -6d 10 + -6d = -14 + 4d + -4d Combine like terms: 4d + -4d = 0 10 + -6d = -14 + 0 10 + -6d = -14 Add '-10' to each side of the equation. 10 + -10 + -6d = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -6d = -14 + -10 -6d = -14 + -10 Combine like terms: -14 + -10 = -24 -6d = -24 Divide each side by '-6'. d = 4 Simplifying d = 4
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