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Simplifying -45 = 6d + -3(2 + 3d) -45 = 6d + (2 * -3 + 3d * -3) -45 = 6d + (-6 + -9d) Reorder the terms: -45 = -6 + 6d + -9d Combine like terms: 6d + -9d = -3d -45 = -6 + -3d Solving -45 = -6 + -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. -45 + 3d = -6 + -3d + 3d Combine like terms: -3d + 3d = 0 -45 + 3d = -6 + 0 -45 + 3d = -6 Add '45' to each side of the equation. -45 + 45 + 3d = -6 + 45 Combine like terms: -45 + 45 = 0 0 + 3d = -6 + 45 3d = -6 + 45 Combine like terms: -6 + 45 = 39 3d = 39 Divide each side by '3'. d = 13 Simplifying d = 13
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