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Simplifying 7(d + -5) + 12 = 15 Reorder the terms: 7(-5 + d) + 12 = 15 (-5 * 7 + d * 7) + 12 = 15 (-35 + 7d) + 12 = 15 Reorder the terms: -35 + 12 + 7d = 15 Combine like terms: -35 + 12 = -23 -23 + 7d = 15 Solving -23 + 7d = 15 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 7d = 15 + 23 Combine like terms: -23 + 23 = 0 0 + 7d = 15 + 23 7d = 15 + 23 Combine like terms: 15 + 23 = 38 7d = 38 Divide each side by '7'. d = 5.428571429 Simplifying d = 5.428571429
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