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Simplifying 12 + -3d = 22 + 2d Solving 12 + -3d = 22 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 12 + -3d + -2d = 22 + 2d + -2d Combine like terms: -3d + -2d = -5d 12 + -5d = 22 + 2d + -2d Combine like terms: 2d + -2d = 0 12 + -5d = 22 + 0 12 + -5d = 22 Add '-12' to each side of the equation. 12 + -12 + -5d = 22 + -12 Combine like terms: 12 + -12 = 0 0 + -5d = 22 + -12 -5d = 22 + -12 Combine like terms: 22 + -12 = 10 -5d = 10 Divide each side by '-5'. d = -2 Simplifying d = -2
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