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Simplifying 5d + 10 = 3d + -6 Reorder the terms: 10 + 5d = 3d + -6 Reorder the terms: 10 + 5d = -6 + 3d Solving 10 + 5d = -6 + 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. 10 + 5d + -3d = -6 + 3d + -3d Combine like terms: 5d + -3d = 2d 10 + 2d = -6 + 3d + -3d Combine like terms: 3d + -3d = 0 10 + 2d = -6 + 0 10 + 2d = -6 Add '-10' to each side of the equation. 10 + -10 + 2d = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 2d = -6 + -10 2d = -6 + -10 Combine like terms: -6 + -10 = -16 2d = -16 Divide each side by '2'. d = -8 Simplifying d = -8
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