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Simplifying 3d + -5 = 7d + -21 Reorder the terms: -5 + 3d = 7d + -21 Reorder the terms: -5 + 3d = -21 + 7d Solving -5 + 3d = -21 + 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. -5 + 3d + -7d = -21 + 7d + -7d Combine like terms: 3d + -7d = -4d -5 + -4d = -21 + 7d + -7d Combine like terms: 7d + -7d = 0 -5 + -4d = -21 + 0 -5 + -4d = -21 Add '5' to each side of the equation. -5 + 5 + -4d = -21 + 5 Combine like terms: -5 + 5 = 0 0 + -4d = -21 + 5 -4d = -21 + 5 Combine like terms: -21 + 5 = -16 -4d = -16 Divide each side by '-4'. d = 4 Simplifying d = 4
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