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Simplifying 2(d + -6) = 3d + 5 Reorder the terms: 2(-6 + d) = 3d + 5 (-6 * 2 + d * 2) = 3d + 5 (-12 + 2d) = 3d + 5 Reorder the terms: -12 + 2d = 5 + 3d Solving -12 + 2d = 5 + 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. -12 + 2d + -3d = 5 + 3d + -3d Combine like terms: 2d + -3d = -1d -12 + -1d = 5 + 3d + -3d Combine like terms: 3d + -3d = 0 -12 + -1d = 5 + 0 -12 + -1d = 5 Add '12' to each side of the equation. -12 + 12 + -1d = 5 + 12 Combine like terms: -12 + 12 = 0 0 + -1d = 5 + 12 -1d = 5 + 12 Combine like terms: 5 + 12 = 17 -1d = 17 Divide each side by '-1'. d = -17 Simplifying d = -17
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