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Simplifying 8 + -4(3 + -6d) = 9(2d + -2) 8 + (3 * -4 + -6d * -4) = 9(2d + -2) 8 + (-12 + 24d) = 9(2d + -2) Combine like terms: 8 + -12 = -4 -4 + 24d = 9(2d + -2) Reorder the terms: -4 + 24d = 9(-2 + 2d) -4 + 24d = (-2 * 9 + 2d * 9) -4 + 24d = (-18 + 18d) Solving -4 + 24d = -18 + 18d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-18d' to each side of the equation. -4 + 24d + -18d = -18 + 18d + -18d Combine like terms: 24d + -18d = 6d -4 + 6d = -18 + 18d + -18d Combine like terms: 18d + -18d = 0 -4 + 6d = -18 + 0 -4 + 6d = -18 Add '4' to each side of the equation. -4 + 4 + 6d = -18 + 4 Combine like terms: -4 + 4 = 0 0 + 6d = -18 + 4 6d = -18 + 4 Combine like terms: -18 + 4 = -14 6d = -14 Divide each side by '6'. d = -2.333333333 Simplifying d = -2.333333333
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