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Simplifying 3(d + 4) = 8(d + -3) Reorder the terms: 3(4 + d) = 8(d + -3) (4 * 3 + d * 3) = 8(d + -3) (12 + 3d) = 8(d + -3) Reorder the terms: 12 + 3d = 8(-3 + d) 12 + 3d = (-3 * 8 + d * 8) 12 + 3d = (-24 + 8d) Solving 12 + 3d = -24 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 12 + 3d + -8d = -24 + 8d + -8d Combine like terms: 3d + -8d = -5d 12 + -5d = -24 + 8d + -8d Combine like terms: 8d + -8d = 0 12 + -5d = -24 + 0 12 + -5d = -24 Add '-12' to each side of the equation. 12 + -12 + -5d = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -5d = -24 + -12 -5d = -24 + -12 Combine like terms: -24 + -12 = -36 -5d = -36 Divide each side by '-5'. d = 7.2 Simplifying d = 7.2
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