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Simplifying 4(3 + -6d) = 9(2d + -2) (3 * 4 + -6d * 4) = 9(2d + -2) (12 + -24d) = 9(2d + -2) Reorder the terms: 12 + -24d = 9(-2 + 2d) 12 + -24d = (-2 * 9 + 2d * 9) 12 + -24d = (-18 + 18d) Solving 12 + -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. 12 + -24d + -18d = -18 + 18d + -18d Combine like terms: -24d + -18d = -42d 12 + -42d = -18 + 18d + -18d Combine like terms: 18d + -18d = 0 12 + -42d = -18 + 0 12 + -42d = -18 Add '-12' to each side of the equation. 12 + -12 + -42d = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -42d = -18 + -12 -42d = -18 + -12 Combine like terms: -18 + -12 = -30 -42d = -30 Divide each side by '-42'. d = 0.7142857143 Simplifying d = 0.7142857143
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