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Simplifying -9d + -12 = -4(d + 6) + -1d Reorder the terms: -12 + -9d = -4(d + 6) + -1d Reorder the terms: -12 + -9d = -4(6 + d) + -1d -12 + -9d = (6 * -4 + d * -4) + -1d -12 + -9d = (-24 + -4d) + -1d Combine like terms: -4d + -1d = -5d -12 + -9d = -24 + -5d Solving -12 + -9d = -24 + -5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5d' to each side of the equation. -12 + -9d + 5d = -24 + -5d + 5d Combine like terms: -9d + 5d = -4d -12 + -4d = -24 + -5d + 5d Combine like terms: -5d + 5d = 0 -12 + -4d = -24 + 0 -12 + -4d = -24 Add '12' to each side of the equation. -12 + 12 + -4d = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -4d = -24 + 12 -4d = -24 + 12 Combine like terms: -24 + 12 = -12 -4d = -12 Divide each side by '-4'. d = 3 Simplifying d = 3
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