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Simplifying -6 + 2(d + -9) = 8d Reorder the terms: -6 + 2(-9 + d) = 8d -6 + (-9 * 2 + d * 2) = 8d -6 + (-18 + 2d) = 8d Combine like terms: -6 + -18 = -24 -24 + 2d = 8d Solving -24 + 2d = 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -24 + 2d + -8d = 8d + -8d Combine like terms: 2d + -8d = -6d -24 + -6d = 8d + -8d Combine like terms: 8d + -8d = 0 -24 + -6d = 0 Add '24' to each side of the equation. -24 + 24 + -6d = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -6d = 0 + 24 -6d = 0 + 24 Combine like terms: 0 + 24 = 24 -6d = 24 Divide each side by '-6'. d = -4 Simplifying d = -4
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