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Simplifying 42 = 5d + -21 + 2d Reorder the terms: 42 = -21 + 5d + 2d Combine like terms: 5d + 2d = 7d 42 = -21 + 7d Solving 42 = -21 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 42 + -7d = -21 + 7d + -7d Combine like terms: 7d + -7d = 0 42 + -7d = -21 + 0 42 + -7d = -21 Add '-42' to each side of the equation. 42 + -42 + -7d = -21 + -42 Combine like terms: 42 + -42 = 0 0 + -7d = -21 + -42 -7d = -21 + -42 Combine like terms: -21 + -42 = -63 -7d = -63 Divide each side by '-7'. d = 9 Simplifying d = 9
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