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Simplifying 4d + -7 = 6 + 12 + -1d Reorder the terms: -7 + 4d = 6 + 12 + -1d Combine like terms: 6 + 12 = 18 -7 + 4d = 18 + -1d Solving -7 + 4d = 18 + -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. -7 + 4d + d = 18 + -1d + d Combine like terms: 4d + d = 5d -7 + 5d = 18 + -1d + d Combine like terms: -1d + d = 0 -7 + 5d = 18 + 0 -7 + 5d = 18 Add '7' to each side of the equation. -7 + 7 + 5d = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 5d = 18 + 7 5d = 18 + 7 Combine like terms: 18 + 7 = 25 5d = 25 Divide each side by '5'. d = 5 Simplifying d = 5
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