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Simplifying 6(d + 1) + -2d = 54 Reorder the terms: 6(1 + d) + -2d = 54 (1 * 6 + d * 6) + -2d = 54 (6 + 6d) + -2d = 54 Combine like terms: 6d + -2d = 4d 6 + 4d = 54 Solving 6 + 4d = 54 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4d = 54 + -6 Combine like terms: 6 + -6 = 0 0 + 4d = 54 + -6 4d = 54 + -6 Combine like terms: 54 + -6 = 48 4d = 48 Divide each side by '4'. d = 12 Simplifying d = 12
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