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Simplifying 3(d + -2) + 6 = 5(d + 4) Reorder the terms: 3(-2 + d) + 6 = 5(d + 4) (-2 * 3 + d * 3) + 6 = 5(d + 4) (-6 + 3d) + 6 = 5(d + 4) Reorder the terms: -6 + 6 + 3d = 5(d + 4) Combine like terms: -6 + 6 = 0 0 + 3d = 5(d + 4) 3d = 5(d + 4) Reorder the terms: 3d = 5(4 + d) 3d = (4 * 5 + d * 5) 3d = (20 + 5d) Solving 3d = 20 + 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. 3d + -5d = 20 + 5d + -5d Combine like terms: 3d + -5d = -2d -2d = 20 + 5d + -5d Combine like terms: 5d + -5d = 0 -2d = 20 + 0 -2d = 20 Divide each side by '-2'. d = -10 Simplifying d = -10
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