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Simplifying 4(d + -2) = 3(d + 6) Reorder the terms: 4(-2 + d) = 3(d + 6) (-2 * 4 + d * 4) = 3(d + 6) (-8 + 4d) = 3(d + 6) Reorder the terms: -8 + 4d = 3(6 + d) -8 + 4d = (6 * 3 + d * 3) -8 + 4d = (18 + 3d) Solving -8 + 4d = 18 + 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 + 4d + -3d = 18 + 3d + -3d Combine like terms: 4d + -3d = 1d -8 + 1d = 18 + 3d + -3d Combine like terms: 3d + -3d = 0 -8 + 1d = 18 + 0 -8 + 1d = 18 Add '8' to each side of the equation. -8 + 8 + 1d = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 1d = 18 + 8 1d = 18 + 8 Combine like terms: 18 + 8 = 26 1d = 26 Divide each side by '1'. d = 26 Simplifying d = 26
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