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Simplifying -4(3 + -6d) = 9(2 + -2d) (3 * -4 + -6d * -4) = 9(2 + -2d) (-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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