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Simplifying 6d + -2(d + -2) = 3(d + -12) Reorder the terms: 6d + -2(-2 + d) = 3(d + -12) 6d + (-2 * -2 + d * -2) = 3(d + -12) 6d + (4 + -2d) = 3(d + -12) Reorder the terms: 4 + 6d + -2d = 3(d + -12) Combine like terms: 6d + -2d = 4d 4 + 4d = 3(d + -12) Reorder the terms: 4 + 4d = 3(-12 + d) 4 + 4d = (-12 * 3 + d * 3) 4 + 4d = (-36 + 3d) Solving 4 + 4d = -36 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 4 + 4d + -3d = -36 + 3d + -3d Combine like terms: 4d + -3d = 1d 4 + 1d = -36 + 3d + -3d Combine like terms: 3d + -3d = 0 4 + 1d = -36 + 0 4 + 1d = -36 Add '-4' to each side of the equation. 4 + -4 + 1d = -36 + -4 Combine like terms: 4 + -4 = 0 0 + 1d = -36 + -4 1d = -36 + -4 Combine like terms: -36 + -4 = -40 1d = -40 Divide each side by '1'. d = -40 Simplifying d = -40
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