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Simplifying 5d + -2(4d + 3) = 18 Reorder the terms: 5d + -2(3 + 4d) = 18 5d + (3 * -2 + 4d * -2) = 18 5d + (-6 + -8d) = 18 Reorder the terms: -6 + 5d + -8d = 18 Combine like terms: 5d + -8d = -3d -6 + -3d = 18 Solving -6 + -3d = 18 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -3d = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -3d = 18 + 6 -3d = 18 + 6 Combine like terms: 18 + 6 = 24 -3d = 24 Divide each side by '-3'. d = -8 Simplifying d = -8
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