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Simplifying 3(d + -6) = 3d + 5 + -3 + 2d Reorder the terms: 3(-6 + d) = 3d + 5 + -3 + 2d (-6 * 3 + d * 3) = 3d + 5 + -3 + 2d (-18 + 3d) = 3d + 5 + -3 + 2d Reorder the terms: -18 + 3d = 5 + -3 + 3d + 2d Combine like terms: 5 + -3 = 2 -18 + 3d = 2 + 3d + 2d Combine like terms: 3d + 2d = 5d -18 + 3d = 2 + 5d Solving -18 + 3d = 2 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. -18 + 3d + -5d = 2 + 5d + -5d Combine like terms: 3d + -5d = -2d -18 + -2d = 2 + 5d + -5d Combine like terms: 5d + -5d = 0 -18 + -2d = 2 + 0 -18 + -2d = 2 Add '18' to each side of the equation. -18 + 18 + -2d = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -2d = 2 + 18 -2d = 2 + 18 Combine like terms: 2 + 18 = 20 -2d = 20 Divide each side by '-2'. d = -10 Simplifying d = -10
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