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Simplifying 6(d + 4) + -2(2d + 1) = 4 Reorder the terms: 6(4 + d) + -2(2d + 1) = 4 (4 * 6 + d * 6) + -2(2d + 1) = 4 (24 + 6d) + -2(2d + 1) = 4 Reorder the terms: 24 + 6d + -2(1 + 2d) = 4 24 + 6d + (1 * -2 + 2d * -2) = 4 24 + 6d + (-2 + -4d) = 4 Reorder the terms: 24 + -2 + 6d + -4d = 4 Combine like terms: 24 + -2 = 22 22 + 6d + -4d = 4 Combine like terms: 6d + -4d = 2d 22 + 2d = 4 Solving 22 + 2d = 4 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 2d = 4 + -22 Combine like terms: 22 + -22 = 0 0 + 2d = 4 + -22 2d = 4 + -22 Combine like terms: 4 + -22 = -18 2d = -18 Divide each side by '2'. d = -9 Simplifying d = -9
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