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Simplifying 2d + -3 + 3c + -2d + -3 + 3c = 4d + -12 + 6c Reorder the terms: -3 + -3 + 3c + 3c + 2d + -2d = 4d + -12 + 6c Combine like terms: -3 + -3 = -6 -6 + 3c + 3c + 2d + -2d = 4d + -12 + 6c Combine like terms: 3c + 3c = 6c -6 + 6c + 2d + -2d = 4d + -12 + 6c Combine like terms: 2d + -2d = 0 -6 + 6c + 0 = 4d + -12 + 6c -6 + 6c = 4d + -12 + 6c Reorder the terms: -6 + 6c = -12 + 6c + 4d Add '-6c' to each side of the equation. -6 + 6c + -6c = -12 + 6c + -6c + 4d Combine like terms: 6c + -6c = 0 -6 + 0 = -12 + 6c + -6c + 4d -6 = -12 + 6c + -6c + 4d Combine like terms: 6c + -6c = 0 -6 = -12 + 0 + 4d -6 = -12 + 4d Solving -6 = -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 + -4d = -12 + 4d + -4d Combine like terms: 4d + -4d = 0 -6 + -4d = -12 + 0 -6 + -4d = -12 Add '6' to each side of the equation. -6 + 6 + -4d = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -4d = -12 + 6 -4d = -12 + 6 Combine like terms: -12 + 6 = -6 -4d = -6 Divide each side by '-4'. d = 1.5 Simplifying d = 1.5
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