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