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Simplifying 2(d + -6) = 3d + 5 + -3 + d Reorder the terms: 2(-6 + d) = 3d + 5 + -3 + d (-6 * 2 + d * 2) = 3d + 5 + -3 + d (-12 + 2d) = 3d + 5 + -3 + d Reorder the terms: -12 + 2d = 5 + -3 + 3d + d Combine like terms: 5 + -3 = 2 -12 + 2d = 2 + 3d + d Combine like terms: 3d + d = 4d -12 + 2d = 2 + 4d Solving -12 + 2d = 2 + 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. -12 + 2d + -4d = 2 + 4d + -4d Combine like terms: 2d + -4d = -2d -12 + -2d = 2 + 4d + -4d Combine like terms: 4d + -4d = 0 -12 + -2d = 2 + 0 -12 + -2d = 2 Add '12' to each side of the equation. -12 + 12 + -2d = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -2d = 2 + 12 -2d = 2 + 12 Combine like terms: 2 + 12 = 14 -2d = 14 Divide each side by '-2'. d = -7 Simplifying d = -7
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