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Simplifying -4d + -47 = 7d + 8 Reorder the terms: -47 + -4d = 7d + 8 Reorder the terms: -47 + -4d = 8 + 7d Solving -47 + -4d = 8 + 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. -47 + -4d + -7d = 8 + 7d + -7d Combine like terms: -4d + -7d = -11d -47 + -11d = 8 + 7d + -7d Combine like terms: 7d + -7d = 0 -47 + -11d = 8 + 0 -47 + -11d = 8 Add '47' to each side of the equation. -47 + 47 + -11d = 8 + 47 Combine like terms: -47 + 47 = 0 0 + -11d = 8 + 47 -11d = 8 + 47 Combine like terms: 8 + 47 = 55 -11d = 55 Divide each side by '-11'. d = -5 Simplifying d = -5
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