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Simplifying 4(d + 6) + -3(2d + -5) = 0 Reorder the terms: 4(6 + d) + -3(2d + -5) = 0 (6 * 4 + d * 4) + -3(2d + -5) = 0 (24 + 4d) + -3(2d + -5) = 0 Reorder the terms: 24 + 4d + -3(-5 + 2d) = 0 24 + 4d + (-5 * -3 + 2d * -3) = 0 24 + 4d + (15 + -6d) = 0 Reorder the terms: 24 + 15 + 4d + -6d = 0 Combine like terms: 24 + 15 = 39 39 + 4d + -6d = 0 Combine like terms: 4d + -6d = -2d 39 + -2d = 0 Solving 39 + -2d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -2d = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -2d = 0 + -39 -2d = 0 + -39 Combine like terms: 0 + -39 = -39 -2d = -39 Divide each side by '-2'. d = 19.5 Simplifying d = 19.5
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