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Simplifying 6(d + -5) + 12 = 25 Reorder the terms: 6(-5 + d) + 12 = 25 (-5 * 6 + d * 6) + 12 = 25 (-30 + 6d) + 12 = 25 Reorder the terms: -30 + 12 + 6d = 25 Combine like terms: -30 + 12 = -18 -18 + 6d = 25 Solving -18 + 6d = 25 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 6d = 25 + 18 Combine like terms: -18 + 18 = 0 0 + 6d = 25 + 18 6d = 25 + 18 Combine like terms: 25 + 18 = 43 6d = 43 Divide each side by '6'. d = 7.166666667 Simplifying d = 7.166666667
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