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Simplifying -2(2d + 2) + 3(d + -6) = 0 Reorder the terms: -2(2 + 2d) + 3(d + -6) = 0 (2 * -2 + 2d * -2) + 3(d + -6) = 0 (-4 + -4d) + 3(d + -6) = 0 Reorder the terms: -4 + -4d + 3(-6 + d) = 0 -4 + -4d + (-6 * 3 + d * 3) = 0 -4 + -4d + (-18 + 3d) = 0 Reorder the terms: -4 + -18 + -4d + 3d = 0 Combine like terms: -4 + -18 = -22 -22 + -4d + 3d = 0 Combine like terms: -4d + 3d = -1d -22 + -1d = 0 Solving -22 + -1d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -1d = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -1d = 0 + 22 -1d = 0 + 22 Combine like terms: 0 + 22 = 22 -1d = 22 Divide each side by '-1'. d = -22 Simplifying d = -22
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