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Simplifying 2(d + -4) = 3(d + 5) Reorder the terms: 2(-4 + d) = 3(d + 5) (-4 * 2 + d * 2) = 3(d + 5) (-8 + 2d) = 3(d + 5) Reorder the terms: -8 + 2d = 3(5 + d) -8 + 2d = (5 * 3 + d * 3) -8 + 2d = (15 + 3d) Solving -8 + 2d = 15 + 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. -8 + 2d + -3d = 15 + 3d + -3d Combine like terms: 2d + -3d = -1d -8 + -1d = 15 + 3d + -3d Combine like terms: 3d + -3d = 0 -8 + -1d = 15 + 0 -8 + -1d = 15 Add '8' to each side of the equation. -8 + 8 + -1d = 15 + 8 Combine like terms: -8 + 8 = 0 0 + -1d = 15 + 8 -1d = 15 + 8 Combine like terms: 15 + 8 = 23 -1d = 23 Divide each side by '-1'. d = -23 Simplifying d = -23
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