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Simplifying 3(4D + -2) = 6(D + 3) Reorder the terms: 3(-2 + 4D) = 6(D + 3) (-2 * 3 + 4D * 3) = 6(D + 3) (-6 + 12D) = 6(D + 3) Reorder the terms: -6 + 12D = 6(3 + D) -6 + 12D = (3 * 6 + D * 6) -6 + 12D = (18 + 6D) Solving -6 + 12D = 18 + 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. -6 + 12D + -6D = 18 + 6D + -6D Combine like terms: 12D + -6D = 6D -6 + 6D = 18 + 6D + -6D Combine like terms: 6D + -6D = 0 -6 + 6D = 18 + 0 -6 + 6D = 18 Add '6' to each side of the equation. -6 + 6 + 6D = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 6D = 18 + 6 6D = 18 + 6 Combine like terms: 18 + 6 = 24 6D = 24 Divide each side by '6'. D = 4 Simplifying D = 4
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