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Simplifying 2d + -3(d + -8) = 2(d + 12) Reorder the terms: 2d + -3(-8 + d) = 2(d + 12) 2d + (-8 * -3 + d * -3) = 2(d + 12) 2d + (24 + -3d) = 2(d + 12) Reorder the terms: 24 + 2d + -3d = 2(d + 12) Combine like terms: 2d + -3d = -1d 24 + -1d = 2(d + 12) Reorder the terms: 24 + -1d = 2(12 + d) 24 + -1d = (12 * 2 + d * 2) 24 + -1d = (24 + 2d) Add '-24' to each side of the equation. 24 + -24 + -1d = 24 + -24 + 2d Combine like terms: 24 + -24 = 0 0 + -1d = 24 + -24 + 2d -1d = 24 + -24 + 2d Combine like terms: 24 + -24 = 0 -1d = 0 + 2d -1d = 2d Solving -1d = 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. -1d + -2d = 2d + -2d Combine like terms: -1d + -2d = -3d -3d = 2d + -2d Combine like terms: 2d + -2d = 0 -3d = 0 Divide each side by '-3'. d = 0 Simplifying d = 0
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