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Simplifying 47 + -4d = 7 + -12d Solving 47 + -4d = 7 + -12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '12d' to each side of the equation. 47 + -4d + 12d = 7 + -12d + 12d Combine like terms: -4d + 12d = 8d 47 + 8d = 7 + -12d + 12d Combine like terms: -12d + 12d = 0 47 + 8d = 7 + 0 47 + 8d = 7 Add '-47' to each side of the equation. 47 + -47 + 8d = 7 + -47 Combine like terms: 47 + -47 = 0 0 + 8d = 7 + -47 8d = 7 + -47 Combine like terms: 7 + -47 = -40 8d = -40 Divide each side by '8'. d = -5 Simplifying d = -5
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