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Simplifying 6(d + 8) = 3(14 + -1d) Reorder the terms: 6(8 + d) = 3(14 + -1d) (8 * 6 + d * 6) = 3(14 + -1d) (48 + 6d) = 3(14 + -1d) 48 + 6d = (14 * 3 + -1d * 3) 48 + 6d = (42 + -3d) Solving 48 + 6d = 42 + -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. 48 + 6d + 3d = 42 + -3d + 3d Combine like terms: 6d + 3d = 9d 48 + 9d = 42 + -3d + 3d Combine like terms: -3d + 3d = 0 48 + 9d = 42 + 0 48 + 9d = 42 Add '-48' to each side of the equation. 48 + -48 + 9d = 42 + -48 Combine like terms: 48 + -48 = 0 0 + 9d = 42 + -48 9d = 42 + -48 Combine like terms: 42 + -48 = -6 9d = -6 Divide each side by '9'. d = -0.6666666667 Simplifying d = -0.6666666667
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