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Simplifying -7(d + -5) + 12 = 5 Reorder the terms: -7(-5 + d) + 12 = 5 (-5 * -7 + d * -7) + 12 = 5 (35 + -7d) + 12 = 5 Reorder the terms: 35 + 12 + -7d = 5 Combine like terms: 35 + 12 = 47 47 + -7d = 5 Solving 47 + -7d = 5 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 + -7d = 5 + -47 Combine like terms: 47 + -47 = 0 0 + -7d = 5 + -47 -7d = 5 + -47 Combine like terms: 5 + -47 = -42 -7d = -42 Divide each side by '-7'. d = 6 Simplifying d = 6
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