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Simplifying 2(d + 3) + 4(d + -1) = 14 Reorder the terms: 2(3 + d) + 4(d + -1) = 14 (3 * 2 + d * 2) + 4(d + -1) = 14 (6 + 2d) + 4(d + -1) = 14 Reorder the terms: 6 + 2d + 4(-1 + d) = 14 6 + 2d + (-1 * 4 + d * 4) = 14 6 + 2d + (-4 + 4d) = 14 Reorder the terms: 6 + -4 + 2d + 4d = 14 Combine like terms: 6 + -4 = 2 2 + 2d + 4d = 14 Combine like terms: 2d + 4d = 6d 2 + 6d = 14 Solving 2 + 6d = 14 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6d = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 6d = 14 + -2 6d = 14 + -2 Combine like terms: 14 + -2 = 12 6d = 12 Divide each side by '6'. d = 2 Simplifying d = 2
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