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Simplifying 7(2 + d) = 3(4 + -2d) (2 * 7 + d * 7) = 3(4 + -2d) (14 + 7d) = 3(4 + -2d) 14 + 7d = (4 * 3 + -2d * 3) 14 + 7d = (12 + -6d) Solving 14 + 7d = 12 + -6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6d' to each side of the equation. 14 + 7d + 6d = 12 + -6d + 6d Combine like terms: 7d + 6d = 13d 14 + 13d = 12 + -6d + 6d Combine like terms: -6d + 6d = 0 14 + 13d = 12 + 0 14 + 13d = 12 Add '-14' to each side of the equation. 14 + -14 + 13d = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 13d = 12 + -14 13d = 12 + -14 Combine like terms: 12 + -14 = -2 13d = -2 Divide each side by '13'. d = -0.1538461538 Simplifying d = -0.1538461538
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