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Simplifying 12(2d + -3) = 6d Reorder the terms: 12(-3 + 2d) = 6d (-3 * 12 + 2d * 12) = 6d (-36 + 24d) = 6d Solving -36 + 24d = 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. -36 + 24d + -6d = 6d + -6d Combine like terms: 24d + -6d = 18d -36 + 18d = 6d + -6d Combine like terms: 6d + -6d = 0 -36 + 18d = 0 Add '36' to each side of the equation. -36 + 36 + 18d = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 18d = 0 + 36 18d = 0 + 36 Combine like terms: 0 + 36 = 36 18d = 36 Divide each side by '18'. d = 2 Simplifying d = 2
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