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Simplifying 42 + 12d = 5d Solving 42 + 12d = 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 42 + 12d + -5d = 5d + -5d Combine like terms: 12d + -5d = 7d 42 + 7d = 5d + -5d Combine like terms: 5d + -5d = 0 42 + 7d = 0 Add '-42' to each side of the equation. 42 + -42 + 7d = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 7d = 0 + -42 7d = 0 + -42 Combine like terms: 0 + -42 = -42 7d = -42 Divide each side by '7'. d = -6 Simplifying d = -6
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