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Simplifying 4(3d + -2) = 5(2d + 3) Reorder the terms: 4(-2 + 3d) = 5(2d + 3) (-2 * 4 + 3d * 4) = 5(2d + 3) (-8 + 12d) = 5(2d + 3) Reorder the terms: -8 + 12d = 5(3 + 2d) -8 + 12d = (3 * 5 + 2d * 5) -8 + 12d = (15 + 10d) Solving -8 + 12d = 15 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. -8 + 12d + -10d = 15 + 10d + -10d Combine like terms: 12d + -10d = 2d -8 + 2d = 15 + 10d + -10d Combine like terms: 10d + -10d = 0 -8 + 2d = 15 + 0 -8 + 2d = 15 Add '8' to each side of the equation. -8 + 8 + 2d = 15 + 8 Combine like terms: -8 + 8 = 0 0 + 2d = 15 + 8 2d = 15 + 8 Combine like terms: 15 + 8 = 23 2d = 23 Divide each side by '2'. d = 11.5 Simplifying d = 11.5
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