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Simplifying 8(d + 4) = 6(d + -3) Reorder the terms: 8(4 + d) = 6(d + -3) (4 * 8 + d * 8) = 6(d + -3) (32 + 8d) = 6(d + -3) Reorder the terms: 32 + 8d = 6(-3 + d) 32 + 8d = (-3 * 6 + d * 6) 32 + 8d = (-18 + 6d) Solving 32 + 8d = -18 + 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 + 8d + -6d = -18 + 6d + -6d Combine like terms: 8d + -6d = 2d 32 + 2d = -18 + 6d + -6d Combine like terms: 6d + -6d = 0 32 + 2d = -18 + 0 32 + 2d = -18 Add '-32' to each side of the equation. 32 + -32 + 2d = -18 + -32 Combine like terms: 32 + -32 = 0 0 + 2d = -18 + -32 2d = -18 + -32 Combine like terms: -18 + -32 = -50 2d = -50 Divide each side by '2'. d = -25 Simplifying d = -25
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