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