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Simplifying 7(5d + -1) + 13d = 137 Reorder the terms: 7(-1 + 5d) + 13d = 137 (-1 * 7 + 5d * 7) + 13d = 137 (-7 + 35d) + 13d = 137 Combine like terms: 35d + 13d = 48d -7 + 48d = 137 Solving -7 + 48d = 137 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 48d = 137 + 7 Combine like terms: -7 + 7 = 0 0 + 48d = 137 + 7 48d = 137 + 7 Combine like terms: 137 + 7 = 144 48d = 144 Divide each side by '48'. d = 3 Simplifying d = 3
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