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Simplifying 9d + 5 + -4(3d + 2) = 12 Reorder the terms: 9d + 5 + -4(2 + 3d) = 12 9d + 5 + (2 * -4 + 3d * -4) = 12 9d + 5 + (-8 + -12d) = 12 Reorder the terms: 5 + -8 + 9d + -12d = 12 Combine like terms: 5 + -8 = -3 -3 + 9d + -12d = 12 Combine like terms: 9d + -12d = -3d -3 + -3d = 12 Solving -3 + -3d = 12 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -3d = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -3d = 12 + 3 -3d = 12 + 3 Combine like terms: 12 + 3 = 15 -3d = 15 Divide each side by '-3'. d = -5 Simplifying d = -5
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