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Simplifying 4(d + 3) = 8(2d + -3) Reorder the terms: 4(3 + d) = 8(2d + -3) (3 * 4 + d * 4) = 8(2d + -3) (12 + 4d) = 8(2d + -3) Reorder the terms: 12 + 4d = 8(-3 + 2d) 12 + 4d = (-3 * 8 + 2d * 8) 12 + 4d = (-24 + 16d) Solving 12 + 4d = -24 + 16d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-16d' to each side of the equation. 12 + 4d + -16d = -24 + 16d + -16d Combine like terms: 4d + -16d = -12d 12 + -12d = -24 + 16d + -16d Combine like terms: 16d + -16d = 0 12 + -12d = -24 + 0 12 + -12d = -24 Add '-12' to each side of the equation. 12 + -12 + -12d = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -12d = -24 + -12 -12d = -24 + -12 Combine like terms: -24 + -12 = -36 -12d = -36 Divide each side by '-12'. d = 3 Simplifying d = 3
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