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Simplifying 4d + -43 = 6d + -13 + -7d Reorder the terms: -43 + 4d = 6d + -13 + -7d Reorder the terms: -43 + 4d = -13 + 6d + -7d Combine like terms: 6d + -7d = -1d -43 + 4d = -13 + -1d Solving -43 + 4d = -13 + -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. -43 + 4d + d = -13 + -1d + d Combine like terms: 4d + d = 5d -43 + 5d = -13 + -1d + d Combine like terms: -1d + d = 0 -43 + 5d = -13 + 0 -43 + 5d = -13 Add '43' to each side of the equation. -43 + 43 + 5d = -13 + 43 Combine like terms: -43 + 43 = 0 0 + 5d = -13 + 43 5d = -13 + 43 Combine like terms: -13 + 43 = 30 5d = 30 Divide each side by '5'. d = 6 Simplifying d = 6
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