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Simplifying 3(d + -12) = 8 + -4d Reorder the terms: 3(-12 + d) = 8 + -4d (-12 * 3 + d * 3) = 8 + -4d (-36 + 3d) = 8 + -4d Solving -36 + 3d = 8 + -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. -36 + 3d + 4d = 8 + -4d + 4d Combine like terms: 3d + 4d = 7d -36 + 7d = 8 + -4d + 4d Combine like terms: -4d + 4d = 0 -36 + 7d = 8 + 0 -36 + 7d = 8 Add '36' to each side of the equation. -36 + 36 + 7d = 8 + 36 Combine like terms: -36 + 36 = 0 0 + 7d = 8 + 36 7d = 8 + 36 Combine like terms: 8 + 36 = 44 7d = 44 Divide each side by '7'. d = 6.285714286 Simplifying d = 6.285714286
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