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Simplifying 8(d + -3) + 8 = 5d + -22 Reorder the terms: 8(-3 + d) + 8 = 5d + -22 (-3 * 8 + d * 8) + 8 = 5d + -22 (-24 + 8d) + 8 = 5d + -22 Reorder the terms: -24 + 8 + 8d = 5d + -22 Combine like terms: -24 + 8 = -16 -16 + 8d = 5d + -22 Reorder the terms: -16 + 8d = -22 + 5d Solving -16 + 8d = -22 + 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. -16 + 8d + -5d = -22 + 5d + -5d Combine like terms: 8d + -5d = 3d -16 + 3d = -22 + 5d + -5d Combine like terms: 5d + -5d = 0 -16 + 3d = -22 + 0 -16 + 3d = -22 Add '16' to each side of the equation. -16 + 16 + 3d = -22 + 16 Combine like terms: -16 + 16 = 0 0 + 3d = -22 + 16 3d = -22 + 16 Combine like terms: -22 + 16 = -6 3d = -6 Divide each side by '3'. d = -2 Simplifying d = -2
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