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Simplifying -5d + 4d + -6 = -12 Reorder the terms: -6 + -5d + 4d = -12 Combine like terms: -5d + 4d = -1d -6 + -1d = -12 Solving -6 + -1d = -12 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1d = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -1d = -12 + 6 -1d = -12 + 6 Combine like terms: -12 + 6 = -6 -1d = -6 Divide each side by '-1'. d = 6 Simplifying d = 6
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