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Simplifying 7(2 + -1d) = 42 (2 * 7 + -1d * 7) = 42 (14 + -7d) = 42 Solving 14 + -7d = 42 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -7d = 42 + -14 Combine like terms: 14 + -14 = 0 0 + -7d = 42 + -14 -7d = 42 + -14 Combine like terms: 42 + -14 = 28 -7d = 28 Divide each side by '-7'. d = -4 Simplifying d = -4
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