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Simplifying 4(d + -2) = (2d) + 4 Reorder the terms: 4(-2 + d) = (2d) + 4 (-2 * 4 + d * 4) = (2d) + 4 (-8 + 4d) = (2d) + 4 Reorder the terms: -8 + 4d = 4 + (2d) Solving -8 + 4d = 4 + (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) = 4 + (2d) + (-2d) Combine like terms: 4d + (-2d) = 2d -8 + 2d = 4 + (2d) + (-2d) Combine like terms: (2d) + (-2d) = 0 -8 + 2d = 4 + 0 -8 + 2d = 4 Add '8' to each side of the equation. -8 + 8 + 2d = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 2d = 4 + 8 2d = 4 + 8 Combine like terms: 4 + 8 = 12 2d = 12 Divide each side by '2'. d = 6 Simplifying d = 6
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