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Simplifying 5d + 7d + -3 = 10 + -1d Reorder the terms: -3 + 5d + 7d = 10 + -1d Combine like terms: 5d + 7d = 12d -3 + 12d = 10 + -1d Solving -3 + 12d = 10 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. -3 + 12d + d = 10 + -1d + d Combine like terms: 12d + d = 13d -3 + 13d = 10 + -1d + d Combine like terms: -1d + d = 0 -3 + 13d = 10 + 0 -3 + 13d = 10 Add '3' to each side of the equation. -3 + 3 + 13d = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 13d = 10 + 3 13d = 10 + 3 Combine like terms: 10 + 3 = 13 13d = 13 Divide each side by '13'. d = 1 Simplifying d = 1
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