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Simplifying -6d = 9(-1d + -7) + 18 Reorder the terms: -6d = 9(-7 + -1d) + 18 -6d = (-7 * 9 + -1d * 9) + 18 -6d = (-63 + -9d) + 18 Reorder the terms: -6d = -63 + 18 + -9d Combine like terms: -63 + 18 = -45 -6d = -45 + -9d Solving -6d = -45 + -9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '9d' to each side of the equation. -6d + 9d = -45 + -9d + 9d Combine like terms: -6d + 9d = 3d 3d = -45 + -9d + 9d Combine like terms: -9d + 9d = 0 3d = -45 + 0 3d = -45 Divide each side by '3'. d = -15 Simplifying d = -15
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