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Simplifying 6(d + 7) + 5 = 0 Reorder the terms: 6(7 + d) + 5 = 0 (7 * 6 + d * 6) + 5 = 0 (42 + 6d) + 5 = 0 Reorder the terms: 42 + 5 + 6d = 0 Combine like terms: 42 + 5 = 47 47 + 6d = 0 Solving 47 + 6d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 6d = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 6d = 0 + -47 6d = 0 + -47 Combine like terms: 0 + -47 = -47 6d = -47 Divide each side by '6'. d = -7.833333333 Simplifying d = -7.833333333
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