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Simplifying 42 = 4d + -6d + -6 Reorder the terms: 42 = -6 + 4d + -6d Combine like terms: 4d + -6d = -2d 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 = -48 2d = -48 Divide each side by '2'. d = -24 Simplifying d = -24
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