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Simplifying 6(d + 2) = 4(d + -3) Reorder the terms: 6(2 + d) = 4(d + -3) (2 * 6 + d * 6) = 4(d + -3) (12 + 6d) = 4(d + -3) Reorder the terms: 12 + 6d = 4(-3 + d) 12 + 6d = (-3 * 4 + d * 4) 12 + 6d = (-12 + 4d) Solving 12 + 6d = -12 + 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 + 6d + -4d = -12 + 4d + -4d Combine like terms: 6d + -4d = 2d 12 + 2d = -12 + 4d + -4d Combine like terms: 4d + -4d = 0 12 + 2d = -12 + 0 12 + 2d = -12 Add '-12' to each side of the equation. 12 + -12 + 2d = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 2d = -12 + -12 2d = -12 + -12 Combine like terms: -12 + -12 = -24 2d = -24 Divide each side by '2'. d = -12 Simplifying d = -12
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