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Simplifying 2(d + 8) + 2d = -6(d + -11) Reorder the terms: 2(8 + d) + 2d = -6(d + -11) (8 * 2 + d * 2) + 2d = -6(d + -11) (16 + 2d) + 2d = -6(d + -11) Combine like terms: 2d + 2d = 4d 16 + 4d = -6(d + -11) Reorder the terms: 16 + 4d = -6(-11 + d) 16 + 4d = (-11 * -6 + d * -6) 16 + 4d = (66 + -6d) Solving 16 + 4d = 66 + -6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6d' to each side of the equation. 16 + 4d + 6d = 66 + -6d + 6d Combine like terms: 4d + 6d = 10d 16 + 10d = 66 + -6d + 6d Combine like terms: -6d + 6d = 0 16 + 10d = 66 + 0 16 + 10d = 66 Add '-16' to each side of the equation. 16 + -16 + 10d = 66 + -16 Combine like terms: 16 + -16 = 0 0 + 10d = 66 + -16 10d = 66 + -16 Combine like terms: 66 + -16 = 50 10d = 50 Divide each side by '10'. d = 5 Simplifying d = 5
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