To solve the equation step by step, let's start with the original equation provided:
\[ -3d + 18 - 12d = -3d - 6 \]
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Combine like terms on the left side: \[ -3d - 12d + 18 = -3d - 6 \] This simplifies to: \[ -15d + 18 = -3d - 6 \]
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Next, we'll add \(3d\) to both sides to eliminate \(-3d\) from the right side: \[ -15d + 18 + 3d = -3d - 6 + 3d \] This simplifies to: \[ -12d + 18 = -6 \]
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Now, subtract \(18\) from both sides to isolate the term with \(d\): \[ -12d + 18 - 18 = -6 - 18 \] This simplifies to: \[ -12d = -24 \]
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Finally, divide both sides by \(-12\) to solve for \(d\): \[ d = \frac{-24}{-12} \] This simplifies to: \[ d = 2 \]
Thus, the solution to the equation is:
\[ d = 2 \]