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Simplifying 42 = 2(6 + 5d) 42 = (6 * 2 + 5d * 2) 42 = (12 + 10d) Solving 42 = 12 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 42 + -10d = 12 + 10d + -10d Combine like terms: 10d + -10d = 0 42 + -10d = 12 + 0 42 + -10d = 12 Add '-42' to each side of the equation. 42 + -42 + -10d = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -10d = 12 + -42 -10d = 12 + -42 Combine like terms: 12 + -42 = -30 -10d = -30 Divide each side by '-10'. d = 3 Simplifying d = 3
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