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Simplifying 42 = 4d + -6 Reorder the terms: 42 = -6 + 4d Solving 42 = -6 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 42 + -4d = -6 + 4d + -4d Combine like terms: 4d + -4d = 0 42 + -4d = -6 + 0 42 + -4d = -6 Add '-42' to each side of the equation. 42 + -42 + -4d = -6 + -42 Combine like terms: 42 + -42 = 0 0 + -4d = -6 + -42 -4d = -6 + -42 Combine like terms: -6 + -42 = -48 -4d = -48 Divide each side by '-4'. d = 12 Simplifying d = 12
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