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Simplifying 2d + -8 = 5 + 5(d + 4) Reorder the terms: -8 + 2d = 5 + 5(d + 4) Reorder the terms: -8 + 2d = 5 + 5(4 + d) -8 + 2d = 5 + (4 * 5 + d * 5) -8 + 2d = 5 + (20 + 5d) Combine like terms: 5 + 20 = 25 -8 + 2d = 25 + 5d Solving -8 + 2d = 25 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. -8 + 2d + -5d = 25 + 5d + -5d Combine like terms: 2d + -5d = -3d -8 + -3d = 25 + 5d + -5d Combine like terms: 5d + -5d = 0 -8 + -3d = 25 + 0 -8 + -3d = 25 Add '8' to each side of the equation. -8 + 8 + -3d = 25 + 8 Combine like terms: -8 + 8 = 0 0 + -3d = 25 + 8 -3d = 25 + 8 Combine like terms: 25 + 8 = 33 -3d = 33 Divide each side by '-3'. d = -11 Simplifying d = -11
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