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Simplifying 2 + 6(d + 1) = 4 + 12d Reorder the terms: 2 + 6(1 + d) = 4 + 12d 2 + (1 * 6 + d * 6) = 4 + 12d 2 + (6 + 6d) = 4 + 12d Combine like terms: 2 + 6 = 8 8 + 6d = 4 + 12d Solving 8 + 6d = 4 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. 8 + 6d + -12d = 4 + 12d + -12d Combine like terms: 6d + -12d = -6d 8 + -6d = 4 + 12d + -12d Combine like terms: 12d + -12d = 0 8 + -6d = 4 + 0 8 + -6d = 4 Add '-8' to each side of the equation. 8 + -8 + -6d = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -6d = 4 + -8 -6d = 4 + -8 Combine like terms: 4 + -8 = -4 -6d = -4 Divide each side by '-6'. d = 0.6666666667 Simplifying d = 0.6666666667
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