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Simplifying 3d + 10 = 7d + -6 Reorder the terms: 10 + 3d = 7d + -6 Reorder the terms: 10 + 3d = -6 + 7d Solving 10 + 3d = -6 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 10 + 3d + -7d = -6 + 7d + -7d Combine like terms: 3d + -7d = -4d 10 + -4d = -6 + 7d + -7d Combine like terms: 7d + -7d = 0 10 + -4d = -6 + 0 10 + -4d = -6 Add '-10' to each side of the equation. 10 + -10 + -4d = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -4d = -6 + -10 -4d = -6 + -10 Combine like terms: -6 + -10 = -16 -4d = -16 Divide each side by '-4'. d = 4 Simplifying d = 4
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