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Simplifying 6(d + 1) = 2(d + 11) Reorder the terms: 6(1 + d) = 2(d + 11) (1 * 6 + d * 6) = 2(d + 11) (6 + 6d) = 2(d + 11) Reorder the terms: 6 + 6d = 2(11 + d) 6 + 6d = (11 * 2 + d * 2) 6 + 6d = (22 + 2d) Solving 6 + 6d = 22 + 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. 6 + 6d + -2d = 22 + 2d + -2d Combine like terms: 6d + -2d = 4d 6 + 4d = 22 + 2d + -2d Combine like terms: 2d + -2d = 0 6 + 4d = 22 + 0 6 + 4d = 22 Add '-6' to each side of the equation. 6 + -6 + 4d = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 4d = 22 + -6 4d = 22 + -6 Combine like terms: 22 + -6 = 16 4d = 16 Divide each side by '4'. d = 4 Simplifying d = 4
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