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Simplifying (2d + -2) + -4(3 + -6d) = 0 Reorder the terms: (-2 + 2d) + -4(3 + -6d) = 0 Remove parenthesis around (-2 + 2d) -2 + 2d + -4(3 + -6d) = 0 -2 + 2d + (3 * -4 + -6d * -4) = 0 -2 + 2d + (-12 + 24d) = 0 Reorder the terms: -2 + -12 + 2d + 24d = 0 Combine like terms: -2 + -12 = -14 -14 + 2d + 24d = 0 Combine like terms: 2d + 24d = 26d -14 + 26d = 0 Solving -14 + 26d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 26d = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 26d = 0 + 14 26d = 0 + 14 Combine like terms: 0 + 14 = 14 26d = 14 Divide each side by '26'. d = 0.5384615385 Simplifying d = 0.5384615385
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