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Simplifying 12d + -15 + -7d = 18 + -6d Reorder the terms: -15 + 12d + -7d = 18 + -6d Combine like terms: 12d + -7d = 5d -15 + 5d = 18 + -6d Solving -15 + 5d = 18 + -6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6d' to each side of the equation. -15 + 5d + 6d = 18 + -6d + 6d Combine like terms: 5d + 6d = 11d -15 + 11d = 18 + -6d + 6d Combine like terms: -6d + 6d = 0 -15 + 11d = 18 + 0 -15 + 11d = 18 Add '15' to each side of the equation. -15 + 15 + 11d = 18 + 15 Combine like terms: -15 + 15 = 0 0 + 11d = 18 + 15 11d = 18 + 15 Combine like terms: 18 + 15 = 33 11d = 33 Divide each side by '11'. d = 3 Simplifying d = 3
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