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Simplifying -24 = -7 + 3(d + 8) Reorder the terms: -24 = -7 + 3(8 + d) -24 = -7 + (8 * 3 + d * 3) -24 = -7 + (24 + 3d) Combine like terms: -7 + 24 = 17 -24 = 17 + 3d Solving -24 = 17 + 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. -24 + -3d = 17 + 3d + -3d Combine like terms: 3d + -3d = 0 -24 + -3d = 17 + 0 -24 + -3d = 17 Add '24' to each side of the equation. -24 + 24 + -3d = 17 + 24 Combine like terms: -24 + 24 = 0 0 + -3d = 17 + 24 -3d = 17 + 24 Combine like terms: 17 + 24 = 41 -3d = 41 Divide each side by '-3'. d = -13.66666667 Simplifying d = -13.66666667
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