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Simplifying 34 = 24 + (3d + 7d) Combine like terms: 3d + 7d = 10d 34 = 24 + (10d) 34 = 24 + (10d) Solving 34 = 24 + (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. 34 + (-10d) = 24 + (10d) + (-10d) Combine like terms: (10d) + (-10d) = 0 34 + (-10d) = 24 + 0 34 + (-10d) = 24 Add '-34' to each side of the equation. 34 + -34 + (-10d) = 24 + -34 Combine like terms: 34 + -34 = 0 0 + (-10d) = 24 + -34 (-10d) = 24 + -34 Combine like terms: 24 + -34 = -10 (-10d) = -10 Divide each side by '-10'. d = 1 Simplifying d = 1
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