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Simplifying 5 + -7(d + -5) = 12 Reorder the terms: 5 + -7(-5 + d) = 12 5 + (-5 * -7 + d * -7) = 12 5 + (35 + -7d) = 12 Combine like terms: 5 + 35 = 40 40 + -7d = 12 Solving 40 + -7d = 12 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -7d = 12 + -40 Combine like terms: 40 + -40 = 0 0 + -7d = 12 + -40 -7d = 12 + -40 Combine like terms: 12 + -40 = -28 -7d = -28 Divide each side by '-7'. d = 4 Simplifying d = 4
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