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Simplifying 4(d + -2) = 2(d + 3) Reorder the terms: 4(-2 + d) = 2(d + 3) (-2 * 4 + d * 4) = 2(d + 3) (-8 + 4d) = 2(d + 3) Reorder the terms: -8 + 4d = 2(3 + d) -8 + 4d = (3 * 2 + d * 2) -8 + 4d = (6 + 2d) Solving -8 + 4d = 6 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -8 + 4d + -2d = 6 + 2d + -2d Combine like terms: 4d + -2d = 2d -8 + 2d = 6 + 2d + -2d Combine like terms: 2d + -2d = 0 -8 + 2d = 6 + 0 -8 + 2d = 6 Add '8' to each side of the equation. -8 + 8 + 2d = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2d = 6 + 8 2d = 6 + 8 Combine like terms: 6 + 8 = 14 2d = 14 Divide each side by '2'. d = 7 Simplifying d = 7
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