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Simplifying 8(d + 4) + -4d = 6(4 + d) Reorder the terms: 8(4 + d) + -4d = 6(4 + d) (4 * 8 + d * 8) + -4d = 6(4 + d) (32 + 8d) + -4d = 6(4 + d) Combine like terms: 8d + -4d = 4d 32 + 4d = 6(4 + d) 32 + 4d = (4 * 6 + d * 6) 32 + 4d = (24 + 6d) Solving 32 + 4d = 24 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 32 + 4d + -6d = 24 + 6d + -6d Combine like terms: 4d + -6d = -2d 32 + -2d = 24 + 6d + -6d Combine like terms: 6d + -6d = 0 32 + -2d = 24 + 0 32 + -2d = 24 Add '-32' to each side of the equation. 32 + -32 + -2d = 24 + -32 Combine like terms: 32 + -32 = 0 0 + -2d = 24 + -32 -2d = 24 + -32 Combine like terms: 24 + -32 = -8 -2d = -8 Divide each side by '-2'. d = 4 Simplifying d = 4
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