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Simplifying d2 + -9 = d2 + -7d + 12 Reorder the terms: -9 + d2 = d2 + -7d + 12 Reorder the terms: -9 + d2 = 12 + -7d + d2 Add '-1d2' to each side of the equation. -9 + d2 + -1d2 = 12 + -7d + d2 + -1d2 Combine like terms: d2 + -1d2 = 0 -9 + 0 = 12 + -7d + d2 + -1d2 -9 = 12 + -7d + d2 + -1d2 Combine like terms: d2 + -1d2 = 0 -9 = 12 + -7d + 0 -9 = 12 + -7d Solving -9 = 12 + -7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '7d' to each side of the equation. -9 + 7d = 12 + -7d + 7d Combine like terms: -7d + 7d = 0 -9 + 7d = 12 + 0 -9 + 7d = 12 Add '9' to each side of the equation. -9 + 9 + 7d = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 7d = 12 + 9 7d = 12 + 9 Combine like terms: 12 + 9 = 21 7d = 21 Divide each side by '7'. d = 3 Simplifying d = 3
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