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Simplifying 6(d + 6) + -8 = 2d + 30 Reorder the terms: 6(6 + d) + -8 = 2d + 30 (6 * 6 + d * 6) + -8 = 2d + 30 (36 + 6d) + -8 = 2d + 30 Reorder the terms: 36 + -8 + 6d = 2d + 30 Combine like terms: 36 + -8 = 28 28 + 6d = 2d + 30 Reorder the terms: 28 + 6d = 30 + 2d Solving 28 + 6d = 30 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 28 + 6d + -2d = 30 + 2d + -2d Combine like terms: 6d + -2d = 4d 28 + 4d = 30 + 2d + -2d Combine like terms: 2d + -2d = 0 28 + 4d = 30 + 0 28 + 4d = 30 Add '-28' to each side of the equation. 28 + -28 + 4d = 30 + -28 Combine like terms: 28 + -28 = 0 0 + 4d = 30 + -28 4d = 30 + -28 Combine like terms: 30 + -28 = 2 4d = 2 Divide each side by '4'. d = 0.5 Simplifying d = 0.5
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