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Simplifying 12d + -9 = 15d + 6 Reorder the terms: -9 + 12d = 15d + 6 Reorder the terms: -9 + 12d = 6 + 15d Solving -9 + 12d = 6 + 15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15d' to each side of the equation. -9 + 12d + -15d = 6 + 15d + -15d Combine like terms: 12d + -15d = -3d -9 + -3d = 6 + 15d + -15d Combine like terms: 15d + -15d = 0 -9 + -3d = 6 + 0 -9 + -3d = 6 Add '9' to each side of the equation. -9 + 9 + -3d = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -3d = 6 + 9 -3d = 6 + 9 Combine like terms: 6 + 9 = 15 -3d = 15 Divide each side by '-3'. d = -5 Simplifying d = -5
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