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Simplifying 3(2D + -1) + -2 = 4(D + -2) + 5 Reorder the terms: 3(-1 + 2D) + -2 = 4(D + -2) + 5 (-1 * 3 + 2D * 3) + -2 = 4(D + -2) + 5 (-3 + 6D) + -2 = 4(D + -2) + 5 Reorder the terms: -3 + -2 + 6D = 4(D + -2) + 5 Combine like terms: -3 + -2 = -5 -5 + 6D = 4(D + -2) + 5 Reorder the terms: -5 + 6D = 4(-2 + D) + 5 -5 + 6D = (-2 * 4 + D * 4) + 5 -5 + 6D = (-8 + 4D) + 5 Reorder the terms: -5 + 6D = -8 + 5 + 4D Combine like terms: -8 + 5 = -3 -5 + 6D = -3 + 4D Solving -5 + 6D = -3 + 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. -5 + 6D + -4D = -3 + 4D + -4D Combine like terms: 6D + -4D = 2D -5 + 2D = -3 + 4D + -4D Combine like terms: 4D + -4D = 0 -5 + 2D = -3 + 0 -5 + 2D = -3 Add '5' to each side of the equation. -5 + 5 + 2D = -3 + 5 Combine like terms: -5 + 5 = 0 0 + 2D = -3 + 5 2D = -3 + 5 Combine like terms: -3 + 5 = 2 2D = 2 Divide each side by '2'. D = 1 Simplifying D = 1
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