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