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Simplifying 10d + -4 = -10 + 5d + 1 Reorder the terms: -4 + 10d = -10 + 5d + 1 Reorder the terms: -4 + 10d = -10 + 1 + 5d Combine like terms: -10 + 1 = -9 -4 + 10d = -9 + 5d Solving -4 + 10d = -9 + 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. -4 + 10d + -5d = -9 + 5d + -5d Combine like terms: 10d + -5d = 5d -4 + 5d = -9 + 5d + -5d Combine like terms: 5d + -5d = 0 -4 + 5d = -9 + 0 -4 + 5d = -9 Add '4' to each side of the equation. -4 + 4 + 5d = -9 + 4 Combine like terms: -4 + 4 = 0 0 + 5d = -9 + 4 5d = -9 + 4 Combine like terms: -9 + 4 = -5 5d = -5 Divide each side by '5'. d = -1 Simplifying d = -1
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