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Simplifying 42 = (-2d) + 6 Reorder the terms: 42 = 6 + (-2d) Solving 42 = 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. 42 + (2d) = 6 + (-2d) + (2d) Combine like terms: (-2d) + (2d) = 0 42 + (2d) = 6 + 0 42 + (2d) = 6 Add '-42' to each side of the equation. 42 + -42 + (2d) = 6 + -42 Combine like terms: 42 + -42 = 0 0 + (2d) = 6 + -42 (2d) = 6 + -42 Combine like terms: 6 + -42 = -36 (2d) = -36 Divide each side by '2'. d = -18 Simplifying d = -18
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