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Simplifying 30 + 5d = -5d + -40 Reorder the terms: 30 + 5d = -40 + -5d Solving 30 + 5d = -40 + -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. 30 + 5d + 5d = -40 + -5d + 5d Combine like terms: 5d + 5d = 10d 30 + 10d = -40 + -5d + 5d Combine like terms: -5d + 5d = 0 30 + 10d = -40 + 0 30 + 10d = -40 Add '-30' to each side of the equation. 30 + -30 + 10d = -40 + -30 Combine like terms: 30 + -30 = 0 0 + 10d = -40 + -30 10d = -40 + -30 Combine like terms: -40 + -30 = -70 10d = -70 Divide each side by '10'. d = -7 Simplifying d = -7
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