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Simplifying 4(d + -6) = 3(8 + d) Reorder the terms: 4(-6 + d) = 3(8 + d) (-6 * 4 + d * 4) = 3(8 + d) (-24 + 4d) = 3(8 + d) -24 + 4d = (8 * 3 + d * 3) -24 + 4d = (24 + 3d) Solving -24 + 4d = 24 + 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. -24 + 4d + -3d = 24 + 3d + -3d Combine like terms: 4d + -3d = 1d -24 + 1d = 24 + 3d + -3d Combine like terms: 3d + -3d = 0 -24 + 1d = 24 + 0 -24 + 1d = 24 Add '24' to each side of the equation. -24 + 24 + 1d = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 1d = 24 + 24 1d = 24 + 24 Combine like terms: 24 + 24 = 48 1d = 48 Divide each side by '1'. d = 48 Simplifying d = 48
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