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Simplifying 4d + -3(d + -8) = -8 + 4d + 5 Reorder the terms: 4d + -3(-8 + d) = -8 + 4d + 5 4d + (-8 * -3 + d * -3) = -8 + 4d + 5 4d + (24 + -3d) = -8 + 4d + 5 Reorder the terms: 24 + 4d + -3d = -8 + 4d + 5 Combine like terms: 4d + -3d = 1d 24 + 1d = -8 + 4d + 5 Reorder the terms: 24 + 1d = -8 + 5 + 4d Combine like terms: -8 + 5 = -3 24 + 1d = -3 + 4d Solving 24 + 1d = -3 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 24 + 1d + -4d = -3 + 4d + -4d Combine like terms: 1d + -4d = -3d 24 + -3d = -3 + 4d + -4d Combine like terms: 4d + -4d = 0 24 + -3d = -3 + 0 24 + -3d = -3 Add '-24' to each side of the equation. 24 + -24 + -3d = -3 + -24 Combine like terms: 24 + -24 = 0 0 + -3d = -3 + -24 -3d = -3 + -24 Combine like terms: -3 + -24 = -27 -3d = -27 Divide each side by '-3'. d = 9 Simplifying d = 9
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